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Finding the Fourth Proportional to 230,541.44, 345,728.98 and 97,432

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Solution

The fourth proportional to 230,541.44, 345,728.98 and 97,432 is: 146,112.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,541.44 : 345,728.98 = 97,432 : x
  2. Step 2: Convert to fraction form
    230,541.44/345,728.98 = 97,432/x
  3. Step 3: Cross multiply
    230,541.44x = 345,728.98 × 97,432
  4. Step 4: Simplify right side
    230,541.44x = 33,685,065,979.36
  5. Step 5: Solve for x
    x = 33,685,065,979.36/230,541.44
  6. Step 6: Final answer
    x = 146,112.85

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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.