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Finding the Fourth Proportional to 157,838.04, 217,812.87 and 86,218.38

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Solution

The fourth proportional to 157,838.04, 217,812.87 and 86,218.38 is: 118,979.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,838.04 : 217,812.87 = 86,218.38 : x
  2. Step 2: Convert to fraction form
    157,838.04/217,812.87 = 86,218.38/x
  3. Step 3: Cross multiply
    157,838.04x = 217,812.87 × 86,218.38
  4. Step 4: Simplify right side
    157,838.04x = 18,779,472,794.55
  5. Step 5: Solve for x
    x = 18,779,472,794.55/157,838.04
  6. Step 6: Final answer
    x = 118,979.38

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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.