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Finding the Fourth Proportional to 461,321.76, 692,084.22 and 141,517.68

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Solution

The fourth proportional to 461,321.76, 692,084.22 and 141,517.68 is: 212,307.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,321.76 : 692,084.22 = 141,517.68 : x
  2. Step 2: Convert to fraction form
    461,321.76/692,084.22 = 141,517.68/x
  3. Step 3: Cross multiply
    461,321.76x = 692,084.22 × 141,517.68
  4. Step 4: Simplify right side
    461,321.76x = 97,942,153,179.01
  5. Step 5: Solve for x
    x = 97,942,153,179.01/461,321.76
  6. Step 6: Final answer
    x = 212,307.68

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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.