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Finding the Fourth Proportional to 189,680.87, 284,276.01 and 141,921.24

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Solution

The fourth proportional to 189,680.87, 284,276.01 and 141,921.24 is: 212,698.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,680.87 : 284,276.01 = 141,921.24 : x
  2. Step 2: Convert to fraction form
    189,680.87/284,276.01 = 141,921.24/x
  3. Step 3: Cross multiply
    189,680.87x = 284,276.01 × 141,921.24
  4. Step 4: Simplify right side
    189,680.87x = 40,344,803,841.45
  5. Step 5: Solve for x
    x = 40,344,803,841.45/189,680.87
  6. Step 6: Final answer
    x = 212,698.33

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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.