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Finding the Fourth Proportional to 178,103.60, 267,254.40 and 72,915.20

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Solution

The fourth proportional to 178,103.60, 267,254.40 and 72,915.20 is: 109,413.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,103.60 : 267,254.40 = 72,915.20 : x
  2. Step 2: Convert to fraction form
    178,103.60/267,254.40 = 72,915.20/x
  3. Step 3: Cross multiply
    178,103.60x = 267,254.40 × 72,915.20
  4. Step 4: Simplify right side
    178,103.60x = 19,486,908,026.88
  5. Step 5: Solve for x
    x = 19,486,908,026.88/178,103.60
  6. Step 6: Final answer
    x = 109,413.33

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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.