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Finding the Fourth Proportional to 224,796, 310,219.56 and 129,308.34

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Solution

The fourth proportional to 224,796, 310,219.56 and 129,308.34 is: 178,446.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,796 : 310,219.56 = 129,308.34 : x
  2. Step 2: Convert to fraction form
    224,796/310,219.56 = 129,308.34/x
  3. Step 3: Cross multiply
    224,796x = 310,219.56 × 129,308.34
  4. Step 4: Simplify right side
    224,796x = 40,113,976,339.13
  5. Step 5: Solve for x
    x = 40,113,976,339.13/224,796
  6. Step 6: Final answer
    x = 178,446.13

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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.