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Finding the Fourth Proportional to 175,952.88, 263,929.32 and 42,833.16

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Solution

The fourth proportional to 175,952.88, 263,929.32 and 42,833.16 is: 64,249.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,952.88 : 263,929.32 = 42,833.16 : x
  2. Step 2: Convert to fraction form
    175,952.88/263,929.32 = 42,833.16/x
  3. Step 3: Cross multiply
    175,952.88x = 263,929.32 × 42,833.16
  4. Step 4: Simplify right side
    175,952.88x = 11,304,926,792.25
  5. Step 5: Solve for x
    x = 11,304,926,792.25/175,952.88
  6. Step 6: Final answer
    x = 64,249.74

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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.