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Finding the Fourth Proportional to 157,980.30, 236,947.09 and 58,117.14

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Solution

The fourth proportional to 157,980.30, 236,947.09 and 58,117.14 is: 87,167.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,980.30 : 236,947.09 = 58,117.14 : x
  2. Step 2: Convert to fraction form
    157,980.30/236,947.09 = 58,117.14/x
  3. Step 3: Cross multiply
    157,980.30x = 236,947.09 × 58,117.14
  4. Step 4: Simplify right side
    157,980.30x = 13,770,687,056.83
  5. Step 5: Solve for x
    x = 13,770,687,056.83/157,980.30
  6. Step 6: Final answer
    x = 87,167.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.