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Finding the Fourth Proportional to 105,425.08, 145,470.72 and 60,107

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Solution

The fourth proportional to 105,425.08, 145,470.72 and 60,107 is: 82,938.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,425.08 : 145,470.72 = 60,107 : x
  2. Step 2: Convert to fraction form
    105,425.08/145,470.72 = 60,107/x
  3. Step 3: Cross multiply
    105,425.08x = 145,470.72 × 60,107
  4. Step 4: Simplify right side
    105,425.08x = 8,743,808,567.04
  5. Step 5: Solve for x
    x = 8,743,808,567.04/105,425.08
  6. Step 6: Final answer
    x = 82,938.60

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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.