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Finding the Fourth Proportional to 205,708.14, 283,762.98 and 119,657.52

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Solution

The fourth proportional to 205,708.14, 283,762.98 and 119,657.52 is: 165,060.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,708.14 : 283,762.98 = 119,657.52 : x
  2. Step 2: Convert to fraction form
    205,708.14/283,762.98 = 119,657.52/x
  3. Step 3: Cross multiply
    205,708.14x = 283,762.98 × 119,657.52
  4. Step 4: Simplify right side
    205,708.14x = 33,954,374,454.61
  5. Step 5: Solve for x
    x = 33,954,374,454.61/205,708.14
  6. Step 6: Final answer
    x = 165,060.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.