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Finding the Fourth Proportional to 117,402.40, 176,114.40 and 47,267.20

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Solution

The fourth proportional to 117,402.40, 176,114.40 and 47,267.20 is: 70,905.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,402.40 : 176,114.40 = 47,267.20 : x
  2. Step 2: Convert to fraction form
    117,402.40/176,114.40 = 47,267.20/x
  3. Step 3: Cross multiply
    117,402.40x = 176,114.40 × 47,267.20
  4. Step 4: Simplify right side
    117,402.40x = 8,324,434,567.68
  5. Step 5: Solve for x
    x = 8,324,434,567.68/117,402.40
  6. Step 6: Final answer
    x = 70,905.15

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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.