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Finding the Fourth Proportional to 117,688.40, 176,532.60 and 47,531.60

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Solution

The fourth proportional to 117,688.40, 176,532.60 and 47,531.60 is: 71,297.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,688.40 : 176,532.60 = 47,531.60 : x
  2. Step 2: Convert to fraction form
    117,688.40/176,532.60 = 47,531.60/x
  3. Step 3: Cross multiply
    117,688.40x = 176,532.60 × 47,531.60
  4. Step 4: Simplify right side
    117,688.40x = 8,390,876,930.16
  5. Step 5: Solve for x
    x = 8,390,876,930.16/117,688.40
  6. Step 6: Final answer
    x = 71,297.40

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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.