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Finding the Fourth Proportional to 273,407.94, 410,124.33 and 83,854.44

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Solution

The fourth proportional to 273,407.94, 410,124.33 and 83,854.44 is: 125,785.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,407.94 : 410,124.33 = 83,854.44 : x
  2. Step 2: Convert to fraction form
    273,407.94/410,124.33 = 83,854.44/x
  3. Step 3: Cross multiply
    273,407.94x = 410,124.33 × 83,854.44
  4. Step 4: Simplify right side
    273,407.94x = 34,390,746,022.53
  5. Step 5: Solve for x
    x = 34,390,746,022.53/273,407.94
  6. Step 6: Final answer
    x = 125,785.47

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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.