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Finding the Fourth Proportional to 157,193.97, 216,922.15 and 85,572.45

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Solution

The fourth proportional to 157,193.97, 216,922.15 and 85,572.45 is: 118,086.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,193.97 : 216,922.15 = 85,572.45 : x
  2. Step 2: Convert to fraction form
    157,193.97/216,922.15 = 85,572.45/x
  3. Step 3: Cross multiply
    157,193.97x = 216,922.15 × 85,572.45
  4. Step 4: Simplify right side
    157,193.97x = 18,562,559,941.73
  5. Step 5: Solve for x
    x = 18,562,559,941.73/157,193.97
  6. Step 6: Final answer
    x = 118,086.97

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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.