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Finding the Fourth Proportional to 267,624.69, 369,327.14 and 146,758.31

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Solution

The fourth proportional to 267,624.69, 369,327.14 and 146,758.31 is: 202,529.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,624.69 : 369,327.14 = 146,758.31 : x
  2. Step 2: Convert to fraction form
    267,624.69/369,327.14 = 146,758.31/x
  3. Step 3: Cross multiply
    267,624.69x = 369,327.14 × 146,758.31
  4. Step 4: Simplify right side
    267,624.69x = 54,201,828,193.75
  5. Step 5: Solve for x
    x = 54,201,828,193.75/267,624.69
  6. Step 6: Final answer
    x = 202,529.25

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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.