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Finding the Fourth Proportional to 309,853.10, 464,770.05 and 88,237.10

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Solution

The fourth proportional to 309,853.10, 464,770.05 and 88,237.10 is: 132,352.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,853.10 : 464,770.05 = 88,237.10 : x
  2. Step 2: Convert to fraction form
    309,853.10/464,770.05 = 88,237.10/x
  3. Step 3: Cross multiply
    309,853.10x = 464,770.05 × 88,237.10
  4. Step 4: Simplify right side
    309,853.10x = 41,009,961,378.86
  5. Step 5: Solve for x
    x = 41,009,961,378.86/309,853.10
  6. Step 6: Final answer
    x = 132,352.92

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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.