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Finding the Fourth Proportional to 307,165.85, 460,386.88 and 138,488.69

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Solution

The fourth proportional to 307,165.85, 460,386.88 and 138,488.69 is: 207,569.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,165.85 : 460,386.88 = 138,488.69 : x
  2. Step 2: Convert to fraction form
    307,165.85/460,386.88 = 138,488.69/x
  3. Step 3: Cross multiply
    307,165.85x = 460,386.88 × 138,488.69
  4. Step 4: Simplify right side
    307,165.85x = 63,758,374,508.96
  5. Step 5: Solve for x
    x = 63,758,374,508.96/307,165.85
  6. Step 6: Final answer
    x = 207,569.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.