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Finding the Fourth Proportional to 267,590.40, 369,278.40 and 146,729.76

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Solution

The fourth proportional to 267,590.40, 369,278.40 and 146,729.76 is: 202,489.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,590.40 : 369,278.40 = 146,729.76 : x
  2. Step 2: Convert to fraction form
    267,590.40/369,278.40 = 146,729.76/x
  3. Step 3: Cross multiply
    267,590.40x = 369,278.40 × 146,729.76
  4. Step 4: Simplify right side
    267,590.40x = 54,184,131,005.18
  5. Step 5: Solve for x
    x = 54,184,131,005.18/267,590.40
  6. Step 6: Final answer
    x = 202,489.07

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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.