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Finding the Fourth Proportional to 288,158.43, 432,293.67 and 110,652.39

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Solution

The fourth proportional to 288,158.43, 432,293.67 and 110,652.39 is: 166,000.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,158.43 : 432,293.67 = 110,652.39 : x
  2. Step 2: Convert to fraction form
    288,158.43/432,293.67 = 110,652.39/x
  3. Step 3: Cross multiply
    288,158.43x = 432,293.67 × 110,652.39
  4. Step 4: Simplify right side
    288,158.43x = 47,834,327,767.37
  5. Step 5: Solve for x
    x = 47,834,327,767.37/288,158.43
  6. Step 6: Final answer
    x = 166,000.10

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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.