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Finding the Fourth Proportional to 144,246.40, 216,223.80 and 65,417.20

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Solution

The fourth proportional to 144,246.40, 216,223.80 and 65,417.20 is: 98,059.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,246.40 : 216,223.80 = 65,417.20 : x
  2. Step 2: Convert to fraction form
    144,246.40/216,223.80 = 65,417.20/x
  3. Step 3: Cross multiply
    144,246.40x = 216,223.80 × 65,417.20
  4. Step 4: Simplify right side
    144,246.40x = 14,144,755,569.36
  5. Step 5: Solve for x
    x = 14,144,755,569.36/144,246.40
  6. Step 6: Final answer
    x = 98,059.68

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Why These Related Problems?

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