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Finding the Fourth Proportional to 157,207.94, 216,950.86 and 85,591.90

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Solution

The fourth proportional to 157,207.94, 216,950.86 and 85,591.90 is: 118,118.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,207.94 : 216,950.86 = 85,591.90 : x
  2. Step 2: Convert to fraction form
    157,207.94/216,950.86 = 85,591.90/x
  3. Step 3: Cross multiply
    157,207.94x = 216,950.86 × 85,591.90
  4. Step 4: Simplify right side
    157,207.94x = 18,569,236,314.03
  5. Step 5: Solve for x
    x = 18,569,236,314.03/157,207.94
  6. Step 6: Final answer
    x = 118,118.95

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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.