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Finding the Fourth Proportional to 234,671.12, 323,822.16 and 144,030.88

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Solution

The fourth proportional to 234,671.12, 323,822.16 and 144,030.88 is: 198,747.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,671.12 : 323,822.16 = 144,030.88 : x
  2. Step 2: Convert to fraction form
    234,671.12/323,822.16 = 144,030.88/x
  3. Step 3: Cross multiply
    234,671.12x = 323,822.16 × 144,030.88
  4. Step 4: Simplify right side
    234,671.12x = 46,640,390,668.30
  5. Step 5: Solve for x
    x = 46,640,390,668.30/234,671.12
  6. Step 6: Final answer
    x = 198,747.89

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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.