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Finding the Fourth Proportional to 175,802.78, 263,675 and 63,461.46

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Solution

The fourth proportional to 175,802.78, 263,675 and 63,461.46 is: 95,181.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,802.78 : 263,675 = 63,461.46 : x
  2. Step 2: Convert to fraction form
    175,802.78/263,675 = 63,461.46/x
  3. Step 3: Cross multiply
    175,802.78x = 263,675 × 63,461.46
  4. Step 4: Simplify right side
    175,802.78x = 16,733,200,465.50
  5. Step 5: Solve for x
    x = 16,733,200,465.50/175,802.78
  6. Step 6: Final answer
    x = 95,181.66

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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.