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Finding the Fourth Proportional to 157,633.92, 217,530.54 and 86,013.96

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Solution

The fourth proportional to 157,633.92, 217,530.54 and 86,013.96 is: 118,696.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,633.92 : 217,530.54 = 86,013.96 : x
  2. Step 2: Convert to fraction form
    157,633.92/217,530.54 = 86,013.96/x
  3. Step 3: Cross multiply
    157,633.92x = 217,530.54 × 86,013.96
  4. Step 4: Simplify right side
    157,633.92x = 18,710,663,166.34
  5. Step 5: Solve for x
    x = 18,710,663,166.34/157,633.92
  6. Step 6: Final answer
    x = 118,696.94

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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.