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Finding the Fourth Proportional to 105,407.57, 145,465.89 and 60,084.72

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Solution

The fourth proportional to 105,407.57, 145,465.89 and 60,084.72 is: 82,918.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,407.57 : 145,465.89 = 60,084.72 : x
  2. Step 2: Convert to fraction form
    105,407.57/145,465.89 = 60,084.72/x
  3. Step 3: Cross multiply
    105,407.57x = 145,465.89 × 60,084.72
  4. Step 4: Simplify right side
    105,407.57x = 8,740,277,270.20
  5. Step 5: Solve for x
    x = 8,740,277,270.20/105,407.57
  6. Step 6: Final answer
    x = 82,918.88

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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.