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Finding the Fourth Proportional to 119,266.40, 164,590.66 and 65,552.78

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Solution

The fourth proportional to 119,266.40, 164,590.66 and 65,552.78 is: 90,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,266.40 : 164,590.66 = 65,552.78 : x
  2. Step 2: Convert to fraction form
    119,266.40/164,590.66 = 65,552.78/x
  3. Step 3: Cross multiply
    119,266.40x = 164,590.66 × 65,552.78
  4. Step 4: Simplify right side
    119,266.40x = 10,789,375,325.03
  5. Step 5: Solve for x
    x = 10,789,375,325.03/119,266.40
  6. Step 6: Final answer
    x = 90,464.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.