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Finding the Fourth Proportional to 309,807.60, 464,701.80 and 88,191.60

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Solution

The fourth proportional to 309,807.60, 464,701.80 and 88,191.60 is: 132,284.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,807.60 : 464,701.80 = 88,191.60 : x
  2. Step 2: Convert to fraction form
    309,807.60/464,701.80 = 88,191.60/x
  3. Step 3: Cross multiply
    309,807.60x = 464,701.80 × 88,191.60
  4. Step 4: Simplify right side
    309,807.60x = 40,982,795,264.88
  5. Step 5: Solve for x
    x = 40,982,795,264.88/309,807.60
  6. Step 6: Final answer
    x = 132,284.67

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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.