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Finding the Fourth Proportional to 155,082.76, 232,476.36 and 49,827.84

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Solution

The fourth proportional to 155,082.76, 232,476.36 and 49,827.84 is: 74,694.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,082.76 : 232,476.36 = 49,827.84 : x
  2. Step 2: Convert to fraction form
    155,082.76/232,476.36 = 49,827.84/x
  3. Step 3: Cross multiply
    155,082.76x = 232,476.36 × 49,827.84
  4. Step 4: Simplify right side
    155,082.76x = 11,583,794,869.86
  5. Step 5: Solve for x
    x = 11,583,794,869.86/155,082.76
  6. Step 6: Final answer
    x = 74,694.28

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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.