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Finding the Fourth Proportional to 242,702.76, 364,054.14 and 76,490.76

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Solution

The fourth proportional to 242,702.76, 364,054.14 and 76,490.76 is: 114,736.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,702.76 : 364,054.14 = 76,490.76 : x
  2. Step 2: Convert to fraction form
    242,702.76/364,054.14 = 76,490.76/x
  3. Step 3: Cross multiply
    242,702.76x = 364,054.14 × 76,490.76
  4. Step 4: Simplify right side
    242,702.76x = 27,846,777,849.75
  5. Step 5: Solve for x
    x = 27,846,777,849.75/242,702.76
  6. Step 6: Final answer
    x = 114,736.14

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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.