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Finding the Fourth Proportional to 233,122.31, 321,399.10 and 152,411.07

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Solution

The fourth proportional to 233,122.31, 321,399.10 and 152,411.07 is: 210,124.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,122.31 : 321,399.10 = 152,411.07 : x
  2. Step 2: Convert to fraction form
    233,122.31/321,399.10 = 152,411.07/x
  3. Step 3: Cross multiply
    233,122.31x = 321,399.10 × 152,411.07
  4. Step 4: Simplify right side
    233,122.31x = 48,984,782,123.80
  5. Step 5: Solve for x
    x = 48,984,782,123.80/233,122.31
  6. Step 6: Final answer
    x = 210,124.82

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