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Finding the Fourth Proportional to 100,885.83, 151,328.27 and 30,764.91

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Solution

The fourth proportional to 100,885.83, 151,328.27 and 30,764.91 is: 46,147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,885.83 : 151,328.27 = 30,764.91 : x
  2. Step 2: Convert to fraction form
    100,885.83/151,328.27 = 30,764.91/x
  3. Step 3: Cross multiply
    100,885.83x = 151,328.27 × 30,764.91
  4. Step 4: Simplify right side
    100,885.83x = 4,655,600,453.18
  5. Step 5: Solve for x
    x = 4,655,600,453.18/100,885.83
  6. Step 6: Final answer
    x = 46,147.22

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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.