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Finding the Fourth Proportional to 178,002.40, 266,938.80 and 59,677.60

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Solution

The fourth proportional to 178,002.40, 266,938.80 and 59,677.60 is: 89,494.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,002.40 : 266,938.80 = 59,677.60 : x
  2. Step 2: Convert to fraction form
    178,002.40/266,938.80 = 59,677.60/x
  3. Step 3: Cross multiply
    178,002.40x = 266,938.80 × 59,677.60
  4. Step 4: Simplify right side
    178,002.40x = 15,930,266,930.88
  5. Step 5: Solve for x
    x = 15,930,266,930.88/178,002.40
  6. Step 6: Final answer
    x = 89,494.67

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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.