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Finding the Fourth Proportional to 125,641.29, 188,489.72 and 41,398.05

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Solution

The fourth proportional to 125,641.29, 188,489.72 and 41,398.05 is: 62,106.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,641.29 : 188,489.72 = 41,398.05 : x
  2. Step 2: Convert to fraction form
    125,641.29/188,489.72 = 41,398.05/x
  3. Step 3: Cross multiply
    125,641.29x = 188,489.72 × 41,398.05
  4. Step 4: Simplify right side
    125,641.29x = 7,803,106,646.06
  5. Step 5: Solve for x
    x = 7,803,106,646.06/125,641.29
  6. Step 6: Final answer
    x = 62,106.23

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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.