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Finding the Fourth Proportional to 205,536.54, 283,686.18 and 124,947

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Solution

The fourth proportional to 205,536.54, 283,686.18 and 124,947 is: 172,454.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,536.54 : 283,686.18 = 124,947 : x
  2. Step 2: Convert to fraction form
    205,536.54/283,686.18 = 124,947/x
  3. Step 3: Cross multiply
    205,536.54x = 283,686.18 × 124,947
  4. Step 4: Simplify right side
    205,536.54x = 35,445,737,132.46
  5. Step 5: Solve for x
    x = 35,445,737,132.46/205,536.54
  6. Step 6: Final answer
    x = 172,454.67

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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.