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Finding the Fourth Proportional to 242,176.46, 363,278.34 and 73,702.28

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Solution

The fourth proportional to 242,176.46, 363,278.34 and 73,702.28 is: 110,557.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,176.46 : 363,278.34 = 73,702.28 : x
  2. Step 2: Convert to fraction form
    242,176.46/363,278.34 = 73,702.28/x
  3. Step 3: Cross multiply
    242,176.46x = 363,278.34 × 73,702.28
  4. Step 4: Simplify right side
    242,176.46x = 26,774,441,932.62
  5. Step 5: Solve for x
    x = 26,774,441,932.62/242,176.46
  6. Step 6: Final answer
    x = 110,557.57

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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.