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Finding the Fourth Proportional to 205,350.40, 307,996.80 and 65,123.20

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Solution

The fourth proportional to 205,350.40, 307,996.80 and 65,123.20 is: 97,675.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,350.40 : 307,996.80 = 65,123.20 : x
  2. Step 2: Convert to fraction form
    205,350.40/307,996.80 = 65,123.20/x
  3. Step 3: Cross multiply
    205,350.40x = 307,996.80 × 65,123.20
  4. Step 4: Simplify right side
    205,350.40x = 20,057,737,205.76
  5. Step 5: Solve for x
    x = 20,057,737,205.76/205,350.40
  6. Step 6: Final answer
    x = 97,675.67

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1.5x scale

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.