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Finding the Fourth Proportional to 178,004.12, 266,919.84 and 65,737.22

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Solution

The fourth proportional to 178,004.12, 266,919.84 and 65,737.22 is: 98,573.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,004.12 : 266,919.84 = 65,737.22 : x
  2. Step 2: Convert to fraction form
    178,004.12/266,919.84 = 65,737.22/x
  3. Step 3: Cross multiply
    178,004.12x = 266,919.84 × 65,737.22
  4. Step 4: Simplify right side
    178,004.12x = 17,546,566,909.85
  5. Step 5: Solve for x
    x = 17,546,566,909.85/178,004.12
  6. Step 6: Final answer
    x = 98,573.94

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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.