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Finding the Fourth Proportional to 97,115.27, 145,807.07 and 67,058.97

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Solution

The fourth proportional to 97,115.27, 145,807.07 and 67,058.97 is: 100,681.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,115.27 : 145,807.07 = 67,058.97 : x
  2. Step 2: Convert to fraction form
    97,115.27/145,807.07 = 67,058.97/x
  3. Step 3: Cross multiply
    97,115.27x = 145,807.07 × 67,058.97
  4. Step 4: Simplify right side
    97,115.27x = 9,777,671,932.92
  5. Step 5: Solve for x
    x = 9,777,671,932.92/97,115.27
  6. Step 6: Final answer
    x = 100,681.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.