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Finding the Fourth Proportional to 124,077.50, 185,968.02 and 45,148.76

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Solution

The fourth proportional to 124,077.50, 185,968.02 and 45,148.76 is: 67,669.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,077.50 : 185,968.02 = 45,148.76 : x
  2. Step 2: Convert to fraction form
    124,077.50/185,968.02 = 45,148.76/x
  3. Step 3: Cross multiply
    124,077.50x = 185,968.02 × 45,148.76
  4. Step 4: Simplify right side
    124,077.50x = 8,396,225,502.66
  5. Step 5: Solve for x
    x = 8,396,225,502.66/124,077.50
  6. Step 6: Final answer
    x = 67,669.20

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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.