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Finding the Fourth Proportional to 178,400.70, 267,637.05 and 52,040.70

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Solution

The fourth proportional to 178,400.70, 267,637.05 and 52,040.70 is: 78,071.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,400.70 : 267,637.05 = 52,040.70 : x
  2. Step 2: Convert to fraction form
    178,400.70/267,637.05 = 52,040.70/x
  3. Step 3: Cross multiply
    178,400.70x = 267,637.05 × 52,040.70
  4. Step 4: Simplify right side
    178,400.70x = 13,928,019,427.94
  5. Step 5: Solve for x
    x = 13,928,019,427.94/178,400.70
  6. Step 6: Final answer
    x = 78,071.55

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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.