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Finding the Fourth Proportional to 433,196.93, 649,657.18 and 148,818.91

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Solution

The fourth proportional to 433,196.93, 649,657.18 and 148,818.91 is: 223,180.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,196.93 : 649,657.18 = 148,818.91 : x
  2. Step 2: Convert to fraction form
    433,196.93/649,657.18 = 148,818.91/x
  3. Step 3: Cross multiply
    433,196.93x = 649,657.18 × 148,818.91
  4. Step 4: Simplify right side
    433,196.93x = 96,681,269,408.89
  5. Step 5: Solve for x
    x = 96,681,269,408.89/433,196.93
  6. Step 6: Final answer
    x = 223,180.87

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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.