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Finding the Fourth Proportional to 105,138.52, 145,086.10 and 59,812.24

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Solution

The fourth proportional to 105,138.52, 145,086.10 and 59,812.24 is: 82,538.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,138.52 : 145,086.10 = 59,812.24 : x
  2. Step 2: Convert to fraction form
    105,138.52/145,086.10 = 59,812.24/x
  3. Step 3: Cross multiply
    105,138.52x = 145,086.10 × 59,812.24
  4. Step 4: Simplify right side
    105,138.52x = 8,677,924,633.86
  5. Step 5: Solve for x
    x = 8,677,924,633.86/105,138.52
  6. Step 6: Final answer
    x = 82,538.01

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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.