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Finding the Fourth Proportional to 257,081.10, 386,212.86 and 181,353.93

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Solution

The fourth proportional to 257,081.10, 386,212.86 and 181,353.93 is: 272,447.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,081.10 : 386,212.86 = 181,353.93 : x
  2. Step 2: Convert to fraction form
    257,081.10/386,212.86 = 181,353.93/x
  3. Step 3: Cross multiply
    257,081.10x = 386,212.86 × 181,353.93
  4. Step 4: Simplify right side
    257,081.10x = 70,041,218,529.24
  5. Step 5: Solve for x
    x = 70,041,218,529.24/257,081.10
  6. Step 6: Final answer
    x = 272,447.95

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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.