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Finding the Fourth Proportional to 180,282.56, 270,430.04 and 61,952.88

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Solution

The fourth proportional to 180,282.56, 270,430.04 and 61,952.88 is: 92,931.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,282.56 : 270,430.04 = 61,952.88 : x
  2. Step 2: Convert to fraction form
    180,282.56/270,430.04 = 61,952.88/x
  3. Step 3: Cross multiply
    180,282.56x = 270,430.04 × 61,952.88
  4. Step 4: Simplify right side
    180,282.56x = 16,753,919,816.52
  5. Step 5: Solve for x
    x = 16,753,919,816.52/180,282.56
  6. Step 6: Final answer
    x = 92,931.45

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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.