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Finding the Fourth Proportional to 117,462.72, 176,195.52 and 34,358.40

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Solution

The fourth proportional to 117,462.72, 176,195.52 and 34,358.40 is: 51,538.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,462.72 : 176,195.52 = 34,358.40 : x
  2. Step 2: Convert to fraction form
    117,462.72/176,195.52 = 34,358.40/x
  3. Step 3: Cross multiply
    117,462.72x = 176,195.52 × 34,358.40
  4. Step 4: Simplify right side
    117,462.72x = 6,053,796,154.37
  5. Step 5: Solve for x
    x = 6,053,796,154.37/117,462.72
  6. Step 6: Final answer
    x = 51,538.02

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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.