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Finding the Fourth Proportional to 178,435.88, 267,678.30 and 103,591.16

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Solution

The fourth proportional to 178,435.88, 267,678.30 and 103,591.16 is: 155,400.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,435.88 : 267,678.30 = 103,591.16 : x
  2. Step 2: Convert to fraction form
    178,435.88/267,678.30 = 103,591.16/x
  3. Step 3: Cross multiply
    178,435.88x = 267,678.30 × 103,591.16
  4. Step 4: Simplify right side
    178,435.88x = 27,729,105,603.83
  5. Step 5: Solve for x
    x = 27,729,105,603.83/178,435.88
  6. Step 6: Final answer
    x = 155,400.95

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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.