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Finding the Fourth Proportional to 105,102.65, 145,044.86 and 59,787.20

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Solution

The fourth proportional to 105,102.65, 145,044.86 and 59,787.20 is: 82,508.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,102.65 : 145,044.86 = 59,787.20 : x
  2. Step 2: Convert to fraction form
    105,102.65/145,044.86 = 59,787.20/x
  3. Step 3: Cross multiply
    105,102.65x = 145,044.86 × 59,787.20
  4. Step 4: Simplify right side
    105,102.65x = 8,671,825,029.63
  5. Step 5: Solve for x
    x = 8,671,825,029.63/105,102.65
  6. Step 6: Final answer
    x = 82,508.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.