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Finding the Fourth Proportional to 98,151.78, 147,034.94 and 64,769.96

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Solution

The fourth proportional to 98,151.78, 147,034.94 and 64,769.96 is: 97,027.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,151.78 : 147,034.94 = 64,769.96 : x
  2. Step 2: Convert to fraction form
    98,151.78/147,034.94 = 64,769.96/x
  3. Step 3: Cross multiply
    98,151.78x = 147,034.94 × 64,769.96
  4. Step 4: Simplify right side
    98,151.78x = 9,523,446,123.38
  5. Step 5: Solve for x
    x = 9,523,446,123.38/98,151.78
  6. Step 6: Final answer
    x = 97,027.75

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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.