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Finding the Fourth Proportional to 189,199.85, 261,097.84 and 103,158.13

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Solution

The fourth proportional to 189,199.85, 261,097.84 and 103,158.13 is: 142,359.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,199.85 : 261,097.84 = 103,158.13 : x
  2. Step 2: Convert to fraction form
    189,199.85/261,097.84 = 103,158.13/x
  3. Step 3: Cross multiply
    189,199.85x = 261,097.84 × 103,158.13
  4. Step 4: Simplify right side
    189,199.85x = 26,934,364,921.44
  5. Step 5: Solve for x
    x = 26,934,364,921.44/189,199.85
  6. Step 6: Final answer
    x = 142,359.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.