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Finding the Fourth Proportional to 109,876.52, 164,814.72 and 104,266.85

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Solution

The fourth proportional to 109,876.52, 164,814.72 and 104,266.85 is: 156,400.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,876.52 : 164,814.72 = 104,266.85 : x
  2. Step 2: Convert to fraction form
    109,876.52/164,814.72 = 104,266.85/x
  3. Step 3: Cross multiply
    109,876.52x = 164,814.72 × 104,266.85
  4. Step 4: Simplify right side
    109,876.52x = 17,184,711,688.03
  5. Step 5: Solve for x
    x = 17,184,711,688.03/109,876.52
  6. Step 6: Final answer
    x = 156,400.22

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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.