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Finding the Fourth Proportional to 105,461.16, 145,535.31 and 60,146.52

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Solution

The fourth proportional to 105,461.16, 145,535.31 and 60,146.52 is: 83,001.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,461.16 : 145,535.31 = 60,146.52 : x
  2. Step 2: Convert to fraction form
    105,461.16/145,535.31 = 60,146.52/x
  3. Step 3: Cross multiply
    105,461.16x = 145,535.31 × 60,146.52
  4. Step 4: Simplify right side
    105,461.16x = 8,753,442,433.62
  5. Step 5: Solve for x
    x = 8,753,442,433.62/105,461.16
  6. Step 6: Final answer
    x = 83,001.58

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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.