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Finding the Fourth Proportional to 432,195.15, 648,269.30 and 132,675.78

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Solution

The fourth proportional to 432,195.15, 648,269.30 and 132,675.78 is: 199,006.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,195.15 : 648,269.30 = 132,675.78 : x
  2. Step 2: Convert to fraction form
    432,195.15/648,269.30 = 132,675.78/x
  3. Step 3: Cross multiply
    432,195.15x = 648,269.30 × 132,675.78
  4. Step 4: Simplify right side
    432,195.15x = 86,009,634,364.18
  5. Step 5: Solve for x
    x = 86,009,634,364.18/432,195.15
  6. Step 6: Final answer
    x = 199,006.48

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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.