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Finding the Fourth Proportional to 242,178.46, 363,281.34 and 73,704.28

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Solution

The fourth proportional to 242,178.46, 363,281.34 and 73,704.28 is: 110,560.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,178.46 : 363,281.34 = 73,704.28 : x
  2. Step 2: Convert to fraction form
    242,178.46/363,281.34 = 73,704.28/x
  3. Step 3: Cross multiply
    242,178.46x = 363,281.34 × 73,704.28
  4. Step 4: Simplify right side
    242,178.46x = 26,775,389,602.14
  5. Step 5: Solve for x
    x = 26,775,389,602.14/242,178.46
  6. Step 6: Final answer
    x = 110,560.57

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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.