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Finding the Fourth Proportional to 125,742.29, 188,636.72 and 41,508.32

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Solution

The fourth proportional to 125,742.29, 188,636.72 and 41,508.32 is: 62,270.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,742.29 : 188,636.72 = 41,508.32 : x
  2. Step 2: Convert to fraction form
    125,742.29/188,636.72 = 41,508.32/x
  3. Step 3: Cross multiply
    125,742.29x = 188,636.72 × 41,508.32
  4. Step 4: Simplify right side
    125,742.29x = 7,829,992,186.79
  5. Step 5: Solve for x
    x = 7,829,992,186.79/125,742.29
  6. Step 6: Final answer
    x = 62,270.16

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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.