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Finding the Fourth Proportional to 157,122.84, 216,834.12 and 85,507.50

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Solution

The fourth proportional to 157,122.84, 216,834.12 and 85,507.50 is: 118,002.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,122.84 : 216,834.12 = 85,507.50 : x
  2. Step 2: Convert to fraction form
    157,122.84/216,834.12 = 85,507.50/x
  3. Step 3: Cross multiply
    157,122.84x = 216,834.12 × 85,507.50
  4. Step 4: Simplify right side
    157,122.84x = 18,540,943,515.90
  5. Step 5: Solve for x
    x = 18,540,943,515.90/157,122.84
  6. Step 6: Final answer
    x = 118,002.85

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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.