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Finding the Fourth Proportional to 211,245.92, 316,870.28 and 53,474.38

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Solution

The fourth proportional to 211,245.92, 316,870.28 and 53,474.38 is: 80,211.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,245.92 : 316,870.28 = 53,474.38 : x
  2. Step 2: Convert to fraction form
    211,245.92/316,870.28 = 53,474.38/x
  3. Step 3: Cross multiply
    211,245.92x = 316,870.28 × 53,474.38
  4. Step 4: Simplify right side
    211,245.92x = 16,944,440,904.41
  5. Step 5: Solve for x
    x = 16,944,440,904.41/211,245.92
  6. Step 6: Final answer
    x = 80,211.92

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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.