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Finding the Fourth Proportional to 117,382.40, 176,073.60 and 47,225.60

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Solution

The fourth proportional to 117,382.40, 176,073.60 and 47,225.60 is: 70,838.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,382.40 : 176,073.60 = 47,225.60 : x
  2. Step 2: Convert to fraction form
    117,382.40/176,073.60 = 47,225.60/x
  3. Step 3: Cross multiply
    117,382.40x = 176,073.60 × 47,225.60
  4. Step 4: Simplify right side
    117,382.40x = 8,315,181,404.16
  5. Step 5: Solve for x
    x = 8,315,181,404.16/117,382.40
  6. Step 6: Final answer
    x = 70,838.40

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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.