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Finding the Fourth Proportional to 154,809.76, 232,247.48 and 49,702.56

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Solution

The fourth proportional to 154,809.76, 232,247.48 and 49,702.56 is: 74,564.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,809.76 : 232,247.48 = 49,702.56 : x
  2. Step 2: Convert to fraction form
    154,809.76/232,247.48 = 49,702.56/x
  3. Step 3: Cross multiply
    154,809.76x = 232,247.48 × 49,702.56
  4. Step 4: Simplify right side
    154,809.76x = 11,543,294,309.55
  5. Step 5: Solve for x
    x = 11,543,294,309.55/154,809.76
  6. Step 6: Final answer
    x = 74,564.38

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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.