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Finding the Fourth Proportional to 175,277.84, 262,952.12 and 55,353.53

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Solution

The fourth proportional to 175,277.84, 262,952.12 and 55,353.53 is: 83,041.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,277.84 : 262,952.12 = 55,353.53 : x
  2. Step 2: Convert to fraction form
    175,277.84/262,952.12 = 55,353.53/x
  3. Step 3: Cross multiply
    175,277.84x = 262,952.12 × 55,353.53
  4. Step 4: Simplify right side
    175,277.84x = 14,555,328,858.75
  5. Step 5: Solve for x
    x = 14,555,328,858.75/175,277.84
  6. Step 6: Final answer
    x = 83,041.47

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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.