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Finding the Fourth Proportional to 97,193.52, 134,158.08 and 63,142.08

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Solution

The fourth proportional to 97,193.52, 134,158.08 and 63,142.08 is: 87,156.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,193.52 : 134,158.08 = 63,142.08 : x
  2. Step 2: Convert to fraction form
    97,193.52/134,158.08 = 63,142.08/x
  3. Step 3: Cross multiply
    97,193.52x = 134,158.08 × 63,142.08
  4. Step 4: Simplify right side
    97,193.52x = 8,471,020,220.01
  5. Step 5: Solve for x
    x = 8,471,020,220.01/97,193.52
  6. Step 6: Final answer
    x = 87,156.22

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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.