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Finding the Fourth Proportional to 175,754, 263,675.96 and 51,095

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Solution

The fourth proportional to 175,754, 263,675.96 and 51,095 is: 76,655.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,754 : 263,675.96 = 51,095 : x
  2. Step 2: Convert to fraction form
    175,754/263,675.96 = 51,095/x
  3. Step 3: Cross multiply
    175,754x = 263,675.96 × 51,095
  4. Step 4: Simplify right side
    175,754x = 13,472,523,176.20
  5. Step 5: Solve for x
    x = 13,472,523,176.20/175,754
  6. Step 6: Final answer
    x = 76,655.57

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Why These Related Problems?

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