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Finding the Fourth Proportional to 176,142.92, 264,322.38 and 101,357.96

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Solution

The fourth proportional to 176,142.92, 264,322.38 and 101,357.96 is: 152,099.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,142.92 : 264,322.38 = 101,357.96 : x
  2. Step 2: Convert to fraction form
    176,142.92/264,322.38 = 101,357.96/x
  3. Step 3: Cross multiply
    176,142.92x = 264,322.38 × 101,357.96
  4. Step 4: Simplify right side
    176,142.92x = 26,791,177,219.14
  5. Step 5: Solve for x
    x = 26,791,177,219.14/176,142.92
  6. Step 6: Final answer
    x = 152,099.09

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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.