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Finding the Fourth Proportional to 175,718.60, 263,575.52 and 42,600

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Solution

The fourth proportional to 175,718.60, 263,575.52 and 42,600 is: 63,899.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,718.60 : 263,575.52 = 42,600 : x
  2. Step 2: Convert to fraction form
    175,718.60/263,575.52 = 42,600/x
  3. Step 3: Cross multiply
    175,718.60x = 263,575.52 × 42,600
  4. Step 4: Simplify right side
    175,718.60x = 11,228,317,152
  5. Step 5: Solve for x
    x = 11,228,317,152/175,718.60
  6. Step 6: Final answer
    x = 63,899.42

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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.