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Finding the Fourth Proportional to 230,265.12, 345,369.42 and 61,798.70

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Solution

The fourth proportional to 230,265.12, 345,369.42 and 61,798.70 is: 92,690.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,265.12 : 345,369.42 = 61,798.70 : x
  2. Step 2: Convert to fraction form
    230,265.12/345,369.42 = 61,798.70/x
  3. Step 3: Cross multiply
    230,265.12x = 345,369.42 × 61,798.70
  4. Step 4: Simplify right side
    230,265.12x = 21,343,381,175.75
  5. Step 5: Solve for x
    x = 21,343,381,175.75/230,265.12
  6. Step 6: Final answer
    x = 92,690.47

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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.