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Finding the Fourth Proportional to 124,234, 186,380.16 and 41,128

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Solution

The fourth proportional to 124,234, 186,380.16 and 41,128 is: 61,701.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,234 : 186,380.16 = 41,128 : x
  2. Step 2: Convert to fraction form
    124,234/186,380.16 = 41,128/x
  3. Step 3: Cross multiply
    124,234x = 186,380.16 × 41,128
  4. Step 4: Simplify right side
    124,234x = 7,665,443,220.48
  5. Step 5: Solve for x
    x = 7,665,443,220.48/124,234
  6. Step 6: Final answer
    x = 61,701.65

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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.