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Finding the Fourth Proportional to 230,410, 345,484.74 and 95,397.72

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Solution

The fourth proportional to 230,410, 345,484.74 and 95,397.72 is: 143,042.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,410 : 345,484.74 = 95,397.72 : x
  2. Step 2: Convert to fraction form
    230,410/345,484.74 = 95,397.72/x
  3. Step 3: Cross multiply
    230,410x = 345,484.74 × 95,397.72
  4. Step 4: Simplify right side
    230,410x = 32,958,456,490.79
  5. Step 5: Solve for x
    x = 32,958,456,490.79/230,410
  6. Step 6: Final answer
    x = 143,042.65

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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.