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Finding the Fourth Proportional to 287,642.34, 431,525.78 and 110,149.35

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Solution

The fourth proportional to 287,642.34, 431,525.78 and 110,149.35 is: 165,247.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,642.34 : 431,525.78 = 110,149.35 : x
  2. Step 2: Convert to fraction form
    287,642.34/431,525.78 = 110,149.35/x
  3. Step 3: Cross multiply
    287,642.34x = 431,525.78 × 110,149.35
  4. Step 4: Simplify right side
    287,642.34x = 47,532,283,624.50
  5. Step 5: Solve for x
    x = 47,532,283,624.50/287,642.34
  6. Step 6: Final answer
    x = 165,247.87

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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.