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Finding the Fourth Proportional to 298,291.14, 411,641.82 and 164,155.14

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Solution

The fourth proportional to 298,291.14, 411,641.82 and 164,155.14 is: 226,534.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,291.14 : 411,641.82 = 164,155.14 : x
  2. Step 2: Convert to fraction form
    298,291.14/411,641.82 = 164,155.14/x
  3. Step 3: Cross multiply
    298,291.14x = 411,641.82 × 164,155.14
  4. Step 4: Simplify right side
    298,291.14x = 67,573,120,591.95
  5. Step 5: Solve for x
    x = 67,573,120,591.95/298,291.14
  6. Step 6: Final answer
    x = 226,534.12

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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.