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Finding the Fourth Proportional to 202,111.40, 302,839.05 and 127,097.30

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Solution

The fourth proportional to 202,111.40, 302,839.05 and 127,097.30 is: 190,439.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,111.40 : 302,839.05 = 127,097.30 : x
  2. Step 2: Convert to fraction form
    202,111.40/302,839.05 = 127,097.30/x
  3. Step 3: Cross multiply
    202,111.40x = 302,839.05 × 127,097.30
  4. Step 4: Simplify right side
    202,111.40x = 38,490,025,589.57
  5. Step 5: Solve for x
    x = 38,490,025,589.57/202,111.40
  6. Step 6: Final answer
    x = 190,439.66

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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.