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Finding the Fourth Proportional to 149,873.60, 224,774.40 and 86,556.80

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Solution

The fourth proportional to 149,873.60, 224,774.40 and 86,556.80 is: 129,814.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,873.60 : 224,774.40 = 86,556.80 : x
  2. Step 2: Convert to fraction form
    149,873.60/224,774.40 = 86,556.80/x
  3. Step 3: Cross multiply
    149,873.60x = 224,774.40 × 86,556.80
  4. Step 4: Simplify right side
    149,873.60x = 19,455,752,785.92
  5. Step 5: Solve for x
    x = 19,455,752,785.92/149,873.60
  6. Step 6: Final answer
    x = 129,814.41

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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.