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Finding the Fourth Proportional to 209,302.14, 313,964.10 and 69,071.70

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Solution

The fourth proportional to 209,302.14, 313,964.10 and 69,071.70 is: 103,611.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,302.14 : 313,964.10 = 69,071.70 : x
  2. Step 2: Convert to fraction form
    209,302.14/313,964.10 = 69,071.70/x
  3. Step 3: Cross multiply
    209,302.14x = 313,964.10 × 69,071.70
  4. Step 4: Simplify right side
    209,302.14x = 21,686,034,125.97
  5. Step 5: Solve for x
    x = 21,686,034,125.97/209,302.14
  6. Step 6: Final answer
    x = 103,611.14

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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.