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Finding the Fourth Proportional to 157,000.10, 216,662.31 and 85,381.25

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Solution

The fourth proportional to 157,000.10, 216,662.31 and 85,381.25 is: 117,827.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,000.10 : 216,662.31 = 85,381.25 : x
  2. Step 2: Convert to fraction form
    157,000.10/216,662.31 = 85,381.25/x
  3. Step 3: Cross multiply
    157,000.10x = 216,662.31 × 85,381.25
  4. Step 4: Simplify right side
    157,000.10x = 18,498,897,772.38
  5. Step 5: Solve for x
    x = 18,498,897,772.38/157,000.10
  6. Step 6: Final answer
    x = 117,827.30

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1.5x scale

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.