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Finding the Fourth Proportional to 124,031.20, 186,046.80 and 61,823.20

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Solution

The fourth proportional to 124,031.20, 186,046.80 and 61,823.20 is: 92,734.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,031.20 : 186,046.80 = 61,823.20 : x
  2. Step 2: Convert to fraction form
    124,031.20/186,046.80 = 61,823.20/x
  3. Step 3: Cross multiply
    124,031.20x = 186,046.80 × 61,823.20
  4. Step 4: Simplify right side
    124,031.20x = 11,502,008,525.76
  5. Step 5: Solve for x
    x = 11,502,008,525.76/124,031.20
  6. Step 6: Final answer
    x = 92,734.80

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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.