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Finding the Fourth Proportional to 124,511.76, 186,769.26 and 41,405.76

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Solution

The fourth proportional to 124,511.76, 186,769.26 and 41,405.76 is: 62,109.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,511.76 : 186,769.26 = 41,405.76 : x
  2. Step 2: Convert to fraction form
    124,511.76/186,769.26 = 41,405.76/x
  3. Step 3: Cross multiply
    124,511.76x = 186,769.26 × 41,405.76
  4. Step 4: Simplify right side
    124,511.76x = 7,733,323,154.94
  5. Step 5: Solve for x
    x = 7,733,323,154.94/124,511.76
  6. Step 6: Final answer
    x = 62,109.18

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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.