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Finding the Fourth Proportional to 232,297.92, 348,445.80 and 153,393.30

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Solution

The fourth proportional to 232,297.92, 348,445.80 and 153,393.30 is: 230,089.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,297.92 : 348,445.80 = 153,393.30 : x
  2. Step 2: Convert to fraction form
    232,297.92/348,445.80 = 153,393.30/x
  3. Step 3: Cross multiply
    232,297.92x = 348,445.80 × 153,393.30
  4. Step 4: Simplify right side
    232,297.92x = 53,449,251,133.14
  5. Step 5: Solve for x
    x = 53,449,251,133.14/232,297.92
  6. Step 6: Final answer
    x = 230,089.24

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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.