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Finding the Fourth Proportional to 117,141.20, 175,728.96 and 37,152.48

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Solution

The fourth proportional to 117,141.20, 175,728.96 and 37,152.48 is: 55,734.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,141.20 : 175,728.96 = 37,152.48 : x
  2. Step 2: Convert to fraction form
    117,141.20/175,728.96 = 37,152.48/x
  3. Step 3: Cross multiply
    117,141.20x = 175,728.96 × 37,152.48
  4. Step 4: Simplify right side
    117,141.20x = 6,528,766,671.82
  5. Step 5: Solve for x
    x = 6,528,766,671.82/117,141.20
  6. Step 6: Final answer
    x = 55,734.16

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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.