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Finding the Fourth Proportional to 180,854.52, 249,578.01 and 100,282.02

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Solution

The fourth proportional to 180,854.52, 249,578.01 and 100,282.02 is: 138,388.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,854.52 : 249,578.01 = 100,282.02 : x
  2. Step 2: Convert to fraction form
    180,854.52/249,578.01 = 100,282.02/x
  3. Step 3: Cross multiply
    180,854.52x = 249,578.01 × 100,282.02
  4. Step 4: Simplify right side
    180,854.52x = 25,028,186,990.38
  5. Step 5: Solve for x
    x = 25,028,186,990.38/180,854.52
  6. Step 6: Final answer
    x = 138,388.51

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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.