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Finding the Fourth Proportional to 180,782.79, 249,477.69 and 100,208.58

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Solution

The fourth proportional to 180,782.79, 249,477.69 and 100,208.58 is: 138,286.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,782.79 : 249,477.69 = 100,208.58 : x
  2. Step 2: Convert to fraction form
    180,782.79/249,477.69 = 100,208.58/x
  3. Step 3: Cross multiply
    180,782.79x = 249,477.69 × 100,208.58
  4. Step 4: Simplify right side
    180,782.79x = 24,999,805,056.58
  5. Step 5: Solve for x
    x = 24,999,805,056.58/180,782.79
  6. Step 6: Final answer
    x = 138,286.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.