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Finding the Fourth Proportional to 311,061.53, 466,618.21 and 83,389.60

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Solution

The fourth proportional to 311,061.53, 466,618.21 and 83,389.60 is: 125,091.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,061.53 : 466,618.21 = 83,389.60 : x
  2. Step 2: Convert to fraction form
    311,061.53/466,618.21 = 83,389.60/x
  3. Step 3: Cross multiply
    311,061.53x = 466,618.21 × 83,389.60
  4. Step 4: Simplify right side
    311,061.53x = 38,911,105,884.62
  5. Step 5: Solve for x
    x = 38,911,105,884.62/311,061.53
  6. Step 6: Final answer
    x = 125,091.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.