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Finding the Fourth Proportional to 180,508.38, 249,098.58 and 99,934.17

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Solution

The fourth proportional to 180,508.38, 249,098.58 and 99,934.17 is: 137,907.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,508.38 : 249,098.58 = 99,934.17 : x
  2. Step 2: Convert to fraction form
    180,508.38/249,098.58 = 99,934.17/x
  3. Step 3: Cross multiply
    180,508.38x = 249,098.58 × 99,934.17
  4. Step 4: Simplify right side
    180,508.38x = 24,893,459,840.48
  5. Step 5: Solve for x
    x = 24,893,459,840.48/180,508.38
  6. Step 6: Final answer
    x = 137,907.50

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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.