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Finding the Fourth Proportional to 117,445.40, 176,220.30 and 47,461.40

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Solution

The fourth proportional to 117,445.40, 176,220.30 and 47,461.40 is: 71,213.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,445.40 : 176,220.30 = 47,461.40 : x
  2. Step 2: Convert to fraction form
    117,445.40/176,220.30 = 47,461.40/x
  3. Step 3: Cross multiply
    117,445.40x = 176,220.30 × 47,461.40
  4. Step 4: Simplify right side
    117,445.40x = 8,363,662,146.42
  5. Step 5: Solve for x
    x = 8,363,662,146.42/117,445.40
  6. Step 6: Final answer
    x = 71,213.19

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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.