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Finding the Fourth Proportional to 224,795.83, 310,214.63 and 122,819.10

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Solution

The fourth proportional to 224,795.83, 310,214.63 and 122,819.10 is: 169,488.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,795.83 : 310,214.63 = 122,819.10 : x
  2. Step 2: Convert to fraction form
    224,795.83/310,214.63 = 122,819.10/x
  3. Step 3: Cross multiply
    224,795.83x = 310,214.63 × 122,819.10
  4. Step 4: Simplify right side
    224,795.83x = 38,100,281,049.34
  5. Step 5: Solve for x
    x = 38,100,281,049.34/224,795.83
  6. Step 6: Final answer
    x = 169,488.38

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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.