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Finding the Fourth Proportional to 269,314.34, 371,656.33 and 148,459.96

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Solution

The fourth proportional to 269,314.34, 371,656.33 and 148,459.96 is: 204,876.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,314.34 : 371,656.33 = 148,459.96 : x
  2. Step 2: Convert to fraction form
    269,314.34/371,656.33 = 148,459.96/x
  3. Step 3: Cross multiply
    269,314.34x = 371,656.33 × 148,459.96
  4. Step 4: Simplify right side
    269,314.34x = 55,176,083,885.55
  5. Step 5: Solve for x
    x = 55,176,083,885.55/269,314.34
  6. Step 6: Final answer
    x = 204,876.15

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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.