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Finding the Fourth Proportional to 197,681.50, 296,488.89 and 55,494.16

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Solution

The fourth proportional to 197,681.50, 296,488.89 and 55,494.16 is: 83,231.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,681.50 : 296,488.89 = 55,494.16 : x
  2. Step 2: Convert to fraction form
    197,681.50/296,488.89 = 55,494.16/x
  3. Step 3: Cross multiply
    197,681.50x = 296,488.89 × 55,494.16
  4. Step 4: Simplify right side
    197,681.50x = 16,453,401,899.88
  5. Step 5: Solve for x
    x = 16,453,401,899.88/197,681.50
  6. Step 6: Final answer
    x = 83,231.88

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1.5x scale

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.