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Finding the Fourth Proportional to 178,506.88, 267,338.16 and 155,005.60

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Solution

The fourth proportional to 178,506.88, 267,338.16 and 155,005.60 is: 232,141.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,506.88 : 267,338.16 = 155,005.60 : x
  2. Step 2: Convert to fraction form
    178,506.88/267,338.16 = 155,005.60/x
  3. Step 3: Cross multiply
    178,506.88x = 267,338.16 × 155,005.60
  4. Step 4: Simplify right side
    178,506.88x = 41,438,911,893.70
  5. Step 5: Solve for x
    x = 41,438,911,893.70/178,506.88
  6. Step 6: Final answer
    x = 232,141.82

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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.