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Finding the Fourth Proportional to 157,814, 217,783.31 and 86,194.19

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Solution

The fourth proportional to 157,814, 217,783.31 and 86,194.19 is: 118,947.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,814 : 217,783.31 = 86,194.19 : x
  2. Step 2: Convert to fraction form
    157,814/217,783.31 = 86,194.19/x
  3. Step 3: Cross multiply
    157,814x = 217,783.31 × 86,194.19
  4. Step 4: Simplify right side
    157,814x = 18,771,656,000.97
  5. Step 5: Solve for x
    x = 18,771,656,000.97/157,814
  6. Step 6: Final answer
    x = 118,947.98

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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.