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Finding the Fourth Proportional to 175,277.84, 262,952.14 and 55,353.54

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Solution

The fourth proportional to 175,277.84, 262,952.14 and 55,353.54 is: 83,041.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,277.84 : 262,952.14 = 55,353.54 : x
  2. Step 2: Convert to fraction form
    175,277.84/262,952.14 = 55,353.54/x
  3. Step 3: Cross multiply
    175,277.84x = 262,952.14 × 55,353.54
  4. Step 4: Simplify right side
    175,277.84x = 14,555,331,799.58
  5. Step 5: Solve for x
    x = 14,555,331,799.58/175,277.84
  6. Step 6: Final answer
    x = 83,041.48

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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.