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Finding the Fourth Proportional to 97,966.40, 146,730.90 and 80,470.40

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Solution

The fourth proportional to 97,966.40, 146,730.90 and 80,470.40 is: 120,525.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,966.40 : 146,730.90 = 80,470.40 : x
  2. Step 2: Convert to fraction form
    97,966.40/146,730.90 = 80,470.40/x
  3. Step 3: Cross multiply
    97,966.40x = 146,730.90 × 80,470.40
  4. Step 4: Simplify right side
    97,966.40x = 11,807,494,215.36
  5. Step 5: Solve for x
    x = 11,807,494,215.36/97,966.40
  6. Step 6: Final answer
    x = 120,525.96

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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.