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Finding the Fourth Proportional to 230,376.78, 345,541.80 and 61,875.22

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Solution

The fourth proportional to 230,376.78, 345,541.80 and 61,875.22 is: 92,806.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,376.78 : 345,541.80 = 61,875.22 : x
  2. Step 2: Convert to fraction form
    230,376.78/345,541.80 = 61,875.22/x
  3. Step 3: Cross multiply
    230,376.78x = 345,541.80 × 61,875.22
  4. Step 4: Simplify right side
    230,376.78x = 21,380,474,894.20
  5. Step 5: Solve for x
    x = 21,380,474,894.20/230,376.78
  6. Step 6: Final answer
    x = 92,806.55

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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.