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Finding the Fourth Proportional to 125,621.32, 188,461.12 and 41,378.46

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Solution

The fourth proportional to 125,621.32, 188,461.12 and 41,378.46 is: 62,077.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,621.32 : 188,461.12 = 41,378.46 : x
  2. Step 2: Convert to fraction form
    125,621.32/188,461.12 = 41,378.46/x
  3. Step 3: Cross multiply
    125,621.32x = 188,461.12 × 41,378.46
  4. Step 4: Simplify right side
    125,621.32x = 7,798,230,812.03
  5. Step 5: Solve for x
    x = 7,798,230,812.03/125,621.32
  6. Step 6: Final answer
    x = 62,077.29

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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.