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Finding the Fourth Proportional to 157,817.75, 217,788.50 and 86,197.94

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Solution

The fourth proportional to 157,817.75, 217,788.50 and 86,197.94 is: 118,953.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,817.75 : 217,788.50 = 86,197.94 : x
  2. Step 2: Convert to fraction form
    157,817.75/217,788.50 = 86,197.94/x
  3. Step 3: Cross multiply
    157,817.75x = 217,788.50 × 86,197.94
  4. Step 4: Simplify right side
    157,817.75x = 18,772,918,535.76
  5. Step 5: Solve for x
    x = 18,772,918,535.76/157,817.75
  6. Step 6: Final answer
    x = 118,953.15

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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.