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Finding the Fourth Proportional to 211,251.75, 316,897.16 and 69,097.83

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Solution

The fourth proportional to 211,251.75, 316,897.16 and 69,097.83 is: 103,653.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,251.75 : 316,897.16 = 69,097.83 : x
  2. Step 2: Convert to fraction form
    211,251.75/316,897.16 = 69,097.83/x
  3. Step 3: Cross multiply
    211,251.75x = 316,897.16 × 69,097.83
  4. Step 4: Simplify right side
    211,251.75x = 21,896,905,743.67
  5. Step 5: Solve for x
    x = 21,896,905,743.67/211,251.75
  6. Step 6: Final answer
    x = 103,653.13

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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.