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Finding the Fourth Proportional to 97,068.92, 134,035.98 and 65,342.84

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Solution

The fourth proportional to 97,068.92, 134,035.98 and 65,342.84 is: 90,227.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,068.92 : 134,035.98 = 65,342.84 : x
  2. Step 2: Convert to fraction form
    97,068.92/134,035.98 = 65,342.84/x
  3. Step 3: Cross multiply
    97,068.92x = 134,035.98 × 65,342.84
  4. Step 4: Simplify right side
    97,068.92x = 8,758,291,595.38
  5. Step 5: Solve for x
    x = 8,758,291,595.38/97,068.92
  6. Step 6: Final answer
    x = 90,227.56

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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.