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Finding the Fourth Proportional to 107,186.92, 147,968.74 and 71,436.52

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Solution

The fourth proportional to 107,186.92, 147,968.74 and 71,436.52 is: 98,616.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,186.92 : 147,968.74 = 71,436.52 : x
  2. Step 2: Convert to fraction form
    107,186.92/147,968.74 = 71,436.52/x
  3. Step 3: Cross multiply
    107,186.92x = 147,968.74 × 71,436.52
  4. Step 4: Simplify right side
    107,186.92x = 10,570,371,854.38
  5. Step 5: Solve for x
    x = 10,570,371,854.38/107,186.92
  6. Step 6: Final answer
    x = 98,616.25

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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.