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Finding the Fourth Proportional to 274,471.17, 411,390.80 and 105,916.95

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Solution

The fourth proportional to 274,471.17, 411,390.80 and 105,916.95 is: 158,753.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,471.17 : 411,390.80 = 105,916.95 : x
  2. Step 2: Convert to fraction form
    274,471.17/411,390.80 = 105,916.95/x
  3. Step 3: Cross multiply
    274,471.17x = 411,390.80 × 105,916.95
  4. Step 4: Simplify right side
    274,471.17x = 43,573,258,661.66
  5. Step 5: Solve for x
    x = 43,573,258,661.66/274,471.17
  6. Step 6: Final answer
    x = 158,753.50

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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.