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Finding the Fourth Proportional to 144,783.97, 216,935.92 and 102,454.32

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Solution

The fourth proportional to 144,783.97, 216,935.92 and 102,454.32 is: 153,511.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,783.97 : 216,935.92 = 102,454.32 : x
  2. Step 2: Convert to fraction form
    144,783.97/216,935.92 = 102,454.32/x
  3. Step 3: Cross multiply
    144,783.97x = 216,935.92 × 102,454.32
  4. Step 4: Simplify right side
    144,783.97x = 22,226,022,167.17
  5. Step 5: Solve for x
    x = 22,226,022,167.17/144,783.97
  6. Step 6: Final answer
    x = 153,511.62

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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.