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Finding the Fourth Proportional to 189,046.86, 260,903.06 and 141,217.17

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Solution

The fourth proportional to 189,046.86, 260,903.06 and 141,217.17 is: 194,893.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,046.86 : 260,903.06 = 141,217.17 : x
  2. Step 2: Convert to fraction form
    189,046.86/260,903.06 = 141,217.17/x
  3. Step 3: Cross multiply
    189,046.86x = 260,903.06 × 141,217.17
  4. Step 4: Simplify right side
    189,046.86x = 36,843,991,723.71
  5. Step 5: Solve for x
    x = 36,843,991,723.71/189,046.86
  6. Step 6: Final answer
    x = 194,893.43

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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.