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Finding the Fourth Proportional to 233,475.75, 322,074.66 and 147,403.80

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Solution

The fourth proportional to 233,475.75, 322,074.66 and 147,403.80 is: 203,340.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,475.75 : 322,074.66 = 147,403.80 : x
  2. Step 2: Convert to fraction form
    233,475.75/322,074.66 = 147,403.80/x
  3. Step 3: Cross multiply
    233,475.75x = 322,074.66 × 147,403.80
  4. Step 4: Simplify right side
    233,475.75x = 47,475,029,320.47
  5. Step 5: Solve for x
    x = 47,475,029,320.47/233,475.75
  6. Step 6: Final answer
    x = 203,340.30

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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.