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Finding the Fourth Proportional to 121,512.98, 182,269.47 and 38,400.50

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Solution

The fourth proportional to 121,512.98, 182,269.47 and 38,400.50 is: 57,600.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,512.98 : 182,269.47 = 38,400.50 : x
  2. Step 2: Convert to fraction form
    121,512.98/182,269.47 = 38,400.50/x
  3. Step 3: Cross multiply
    121,512.98x = 182,269.47 × 38,400.50
  4. Step 4: Simplify right side
    121,512.98x = 6,999,238,782.74
  5. Step 5: Solve for x
    x = 6,999,238,782.74/121,512.98
  6. Step 6: Final answer
    x = 57,600.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.