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Finding the Fourth Proportional to 105,700.20, 145,867.47 and 60,384.18

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Solution

The fourth proportional to 105,700.20, 145,867.47 and 60,384.18 is: 83,330.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,700.20 : 145,867.47 = 60,384.18 : x
  2. Step 2: Convert to fraction form
    105,700.20/145,867.47 = 60,384.18/x
  3. Step 3: Cross multiply
    105,700.20x = 145,867.47 × 60,384.18
  4. Step 4: Simplify right side
    105,700.20x = 8,808,087,564.62
  5. Step 5: Solve for x
    x = 8,808,087,564.62/105,700.20
  6. Step 6: Final answer
    x = 83,330.85

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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.