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Finding the Fourth Proportional to 106,892.56, 147,509.61 and 59,145.90

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Solution

The fourth proportional to 106,892.56, 147,509.61 and 59,145.90 is: 81,620.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,892.56 : 147,509.61 = 59,145.90 : x
  2. Step 2: Convert to fraction form
    106,892.56/147,509.61 = 59,145.90/x
  3. Step 3: Cross multiply
    106,892.56x = 147,509.61 × 59,145.90
  4. Step 4: Simplify right side
    106,892.56x = 8,724,587,867.14
  5. Step 5: Solve for x
    x = 8,724,587,867.14/106,892.56
  6. Step 6: Final answer
    x = 81,620.16

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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.