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Finding the Fourth Proportional to 285,933.54, 428,901.93 and 75,569.25

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Solution

The fourth proportional to 285,933.54, 428,901.93 and 75,569.25 is: 113,354.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,933.54 : 428,901.93 = 75,569.25 : x
  2. Step 2: Convert to fraction form
    285,933.54/428,901.93 = 75,569.25/x
  3. Step 3: Cross multiply
    285,933.54x = 428,901.93 × 75,569.25
  4. Step 4: Simplify right side
    285,933.54x = 32,411,797,173.65
  5. Step 5: Solve for x
    x = 32,411,797,173.65/285,933.54
  6. Step 6: Final answer
    x = 113,354.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.