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Finding the Fourth Proportional to 232,792.74, 321,230.01 and 130,801.98

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Solution

The fourth proportional to 232,792.74, 321,230.01 and 130,801.98 is: 180,493.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,792.74 : 321,230.01 = 130,801.98 : x
  2. Step 2: Convert to fraction form
    232,792.74/321,230.01 = 130,801.98/x
  3. Step 3: Cross multiply
    232,792.74x = 321,230.01 × 130,801.98
  4. Step 4: Simplify right side
    232,792.74x = 42,017,521,343.42
  5. Step 5: Solve for x
    x = 42,017,521,343.42/232,792.74
  6. Step 6: Final answer
    x = 180,493.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.