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Finding the Fourth Proportional to 157,921.12, 217,924.68 and 86,303.56

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Solution

The fourth proportional to 157,921.12, 217,924.68 and 86,303.56 is: 119,095.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,921.12 : 217,924.68 = 86,303.56 : x
  2. Step 2: Convert to fraction form
    157,921.12/217,924.68 = 86,303.56/x
  3. Step 3: Cross multiply
    157,921.12x = 217,924.68 × 86,303.56
  4. Step 4: Simplify right side
    157,921.12x = 18,807,675,695.86
  5. Step 5: Solve for x
    x = 18,807,675,695.86/157,921.12
  6. Step 6: Final answer
    x = 119,095.38

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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.