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Finding the Fourth Proportional to 176,603.60, 264,856.80 and 71,433.20

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Solution

The fourth proportional to 176,603.60, 264,856.80 and 71,433.20 is: 107,130.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,603.60 : 264,856.80 = 71,433.20 : x
  2. Step 2: Convert to fraction form
    176,603.60/264,856.80 = 71,433.20/x
  3. Step 3: Cross multiply
    176,603.60x = 264,856.80 × 71,433.20
  4. Step 4: Simplify right side
    176,603.60x = 18,919,568,765.76
  5. Step 5: Solve for x
    x = 18,919,568,765.76/176,603.60
  6. Step 6: Final answer
    x = 107,130.14

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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.