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Finding the Fourth Proportional to 205,192.40, 307,759.80 and 64,965.20

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Solution

The fourth proportional to 205,192.40, 307,759.80 and 64,965.20 is: 97,438.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,192.40 : 307,759.80 = 64,965.20 : x
  2. Step 2: Convert to fraction form
    205,192.40/307,759.80 = 64,965.20/x
  3. Step 3: Cross multiply
    205,192.40x = 307,759.80 × 64,965.20
  4. Step 4: Simplify right side
    205,192.40x = 19,993,676,958.96
  5. Step 5: Solve for x
    x = 19,993,676,958.96/205,192.40
  6. Step 6: Final answer
    x = 97,438.68

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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.