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Finding the Fourth Proportional to 233,537.56, 322,147.52 and 147,465.88

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Solution

The fourth proportional to 233,537.56, 322,147.52 and 147,465.88 is: 203,418.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,537.56 : 322,147.52 = 147,465.88 : x
  2. Step 2: Convert to fraction form
    233,537.56/322,147.52 = 147,465.88/x
  3. Step 3: Cross multiply
    233,537.56x = 322,147.52 × 147,465.88
  4. Step 4: Simplify right side
    233,537.56x = 47,505,767,526.62
  5. Step 5: Solve for x
    x = 47,505,767,526.62/233,537.56
  6. Step 6: Final answer
    x = 203,418.10

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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.