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Finding the Fourth Proportional to 238,253.31, 328,793.31 and 130,833

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Solution

The fourth proportional to 238,253.31, 328,793.31 and 130,833 is: 180,551.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,253.31 : 328,793.31 = 130,833 : x
  2. Step 2: Convert to fraction form
    238,253.31/328,793.31 = 130,833/x
  3. Step 3: Cross multiply
    238,253.31x = 328,793.31 × 130,833
  4. Step 4: Simplify right side
    238,253.31x = 43,017,015,127.23
  5. Step 5: Solve for x
    x = 43,017,015,127.23/238,253.31
  6. Step 6: Final answer
    x = 180,551.59

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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.