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Finding the Fourth Proportional to 157,119.23, 216,829.10 and 85,503.87

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Solution

The fourth proportional to 157,119.23, 216,829.10 and 85,503.87 is: 117,997.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,119.23 : 216,829.10 = 85,503.87 : x
  2. Step 2: Convert to fraction form
    157,119.23/216,829.10 = 85,503.87/x
  3. Step 3: Cross multiply
    157,119.23x = 216,829.10 × 85,503.87
  4. Step 4: Simplify right side
    157,119.23x = 18,539,727,178.62
  5. Step 5: Solve for x
    x = 18,539,727,178.62/157,119.23
  6. Step 6: Final answer
    x = 117,997.82

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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.