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Finding the Fourth Proportional to 157,884.65, 217,878.27 and 86,263.14

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Solution

The fourth proportional to 157,884.65, 217,878.27 and 86,263.14 is: 119,041.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,884.65 : 217,878.27 = 86,263.14 : x
  2. Step 2: Convert to fraction form
    157,884.65/217,878.27 = 86,263.14/x
  3. Step 3: Cross multiply
    157,884.65x = 217,878.27 × 86,263.14
  4. Step 4: Simplify right side
    157,884.65x = 18,794,863,707.97
  5. Step 5: Solve for x
    x = 18,794,863,707.97/157,884.65
  6. Step 6: Final answer
    x = 119,041.74

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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.