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Finding the Fourth Proportional to 189,578.80, 284,368.20 and 96,266.80

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Solution

The fourth proportional to 189,578.80, 284,368.20 and 96,266.80 is: 144,400.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,578.80 : 284,368.20 = 96,266.80 : x
  2. Step 2: Convert to fraction form
    189,578.80/284,368.20 = 96,266.80/x
  3. Step 3: Cross multiply
    189,578.80x = 284,368.20 × 96,266.80
  4. Step 4: Simplify right side
    189,578.80x = 27,375,216,635.76
  5. Step 5: Solve for x
    x = 27,375,216,635.76/189,578.80
  6. Step 6: Final answer
    x = 144,400.20

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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.