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Finding the Fourth Proportional to 207,905.90, 311,866.05 and 65,752.70

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Solution

The fourth proportional to 207,905.90, 311,866.05 and 65,752.70 is: 98,631.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,905.90 : 311,866.05 = 65,752.70 : x
  2. Step 2: Convert to fraction form
    207,905.90/311,866.05 = 65,752.70/x
  3. Step 3: Cross multiply
    207,905.90x = 311,866.05 × 65,752.70
  4. Step 4: Simplify right side
    207,905.90x = 20,506,034,825.84
  5. Step 5: Solve for x
    x = 20,506,034,825.84/207,905.90
  6. Step 6: Final answer
    x = 98,631.33

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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.