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Finding the Fourth Proportional to 242,817.16, 363,914.03 and 116,267.78

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Solution

The fourth proportional to 242,817.16, 363,914.03 and 116,267.78 is: 174,252.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,817.16 : 363,914.03 = 116,267.78 : x
  2. Step 2: Convert to fraction form
    242,817.16/363,914.03 = 116,267.78/x
  3. Step 3: Cross multiply
    242,817.16x = 363,914.03 × 116,267.78
  4. Step 4: Simplify right side
    242,817.16x = 42,311,475,797.61
  5. Step 5: Solve for x
    x = 42,311,475,797.61/242,817.16
  6. Step 6: Final answer
    x = 174,252.41

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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.