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Finding the Fourth Proportional to 224,849.32, 310,296.14 and 122,879.10

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Solution

The fourth proportional to 224,849.32, 310,296.14 and 122,879.10 is: 169,575.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,849.32 : 310,296.14 = 122,879.10 : x
  2. Step 2: Convert to fraction form
    224,849.32/310,296.14 = 122,879.10/x
  3. Step 3: Cross multiply
    224,849.32x = 310,296.14 × 122,879.10
  4. Step 4: Simplify right side
    224,849.32x = 38,128,909,948.13
  5. Step 5: Solve for x
    x = 38,128,909,948.13/224,849.32
  6. Step 6: Final answer
    x = 169,575.38

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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.