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Finding the Fourth Proportional to 157,640.78, 217,543.41 and 86,020.58

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Solution

The fourth proportional to 157,640.78, 217,543.41 and 86,020.58 is: 118,707.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,640.78 : 217,543.41 = 86,020.58 : x
  2. Step 2: Convert to fraction form
    157,640.78/217,543.41 = 86,020.58/x
  3. Step 3: Cross multiply
    157,640.78x = 217,543.41 × 86,020.58
  4. Step 4: Simplify right side
    157,640.78x = 18,713,210,303.38
  5. Step 5: Solve for x
    x = 18,713,210,303.38/157,640.78
  6. Step 6: Final answer
    x = 118,707.93

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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.