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Finding the Fourth Proportional to 180,511.64, 249,115.25 and 99,948.03

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Solution

The fourth proportional to 180,511.64, 249,115.25 and 99,948.03 is: 137,933.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,511.64 : 249,115.25 = 99,948.03 : x
  2. Step 2: Convert to fraction form
    180,511.64/249,115.25 = 99,948.03/x
  3. Step 3: Cross multiply
    180,511.64x = 249,115.25 × 99,948.03
  4. Step 4: Simplify right side
    180,511.64x = 24,898,577,233.94
  5. Step 5: Solve for x
    x = 24,898,577,233.94/180,511.64
  6. Step 6: Final answer
    x = 137,933.36

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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.