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Finding the Fourth Proportional to 309,818.10, 464,717.55 and 88,202.10

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Solution

The fourth proportional to 309,818.10, 464,717.55 and 88,202.10 is: 132,300.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,818.10 : 464,717.55 = 88,202.10 : x
  2. Step 2: Convert to fraction form
    309,818.10/464,717.55 = 88,202.10/x
  3. Step 3: Cross multiply
    309,818.10x = 464,717.55 × 88,202.10
  4. Step 4: Simplify right side
    309,818.10x = 40,989,063,816.86
  5. Step 5: Solve for x
    x = 40,989,063,816.86/309,818.10
  6. Step 6: Final answer
    x = 132,300.42

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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.