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Finding the Fourth Proportional to 105,061.05, 144,978.59 and 59,732.78

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Solution

The fourth proportional to 105,061.05, 144,978.59 and 59,732.78 is: 82,428.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,061.05 : 144,978.59 = 59,732.78 : x
  2. Step 2: Convert to fraction form
    105,061.05/144,978.59 = 59,732.78/x
  3. Step 3: Cross multiply
    105,061.05x = 144,978.59 × 59,732.78
  4. Step 4: Simplify right side
    105,061.05x = 8,659,973,645.62
  5. Step 5: Solve for x
    x = 8,659,973,645.62/105,061.05
  6. Step 6: Final answer
    x = 82,428.01

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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.