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Finding the Fourth Proportional to 125,641.56, 188,490.14 and 41,398.32

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Solution

The fourth proportional to 125,641.56, 188,490.14 and 41,398.32 is: 62,106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,641.56 : 188,490.14 = 41,398.32 : x
  2. Step 2: Convert to fraction form
    125,641.56/188,490.14 = 41,398.32/x
  3. Step 3: Cross multiply
    125,641.56x = 188,490.14 × 41,398.32
  4. Step 4: Simplify right side
    125,641.56x = 7,803,175,787.65
  5. Step 5: Solve for x
    x = 7,803,175,787.65/125,641.56
  6. Step 6: Final answer
    x = 62,106.64

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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.