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Finding the Fourth Proportional to 288,788.97, 433,257.35 and 111,248.31

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Solution

The fourth proportional to 288,788.97, 433,257.35 and 111,248.31 is: 166,900.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,788.97 : 433,257.35 = 111,248.31 : x
  2. Step 2: Convert to fraction form
    288,788.97/433,257.35 = 111,248.31/x
  3. Step 3: Cross multiply
    288,788.97x = 433,257.35 × 111,248.31
  4. Step 4: Simplify right side
    288,788.97x = 48,199,147,426.34
  5. Step 5: Solve for x
    x = 48,199,147,426.34/288,788.97
  6. Step 6: Final answer
    x = 166,900.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.