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Finding the Fourth Proportional to 175,510.77, 263,305.77 and 55,575

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Solution

The fourth proportional to 175,510.77, 263,305.77 and 55,575 is: 83,375.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,510.77 : 263,305.77 = 55,575 : x
  2. Step 2: Convert to fraction form
    175,510.77/263,305.77 = 55,575/x
  3. Step 3: Cross multiply
    175,510.77x = 263,305.77 × 55,575
  4. Step 4: Simplify right side
    175,510.77x = 14,633,218,167.75
  5. Step 5: Solve for x
    x = 14,633,218,167.75/175,510.77
  6. Step 6: Final answer
    x = 83,375.04

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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.