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Finding the Fourth Proportional to 150,298.98, 207,412.26 and 82,315.98

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Solution

The fourth proportional to 150,298.98, 207,412.26 and 82,315.98 is: 113,595.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,298.98 : 207,412.26 = 82,315.98 : x
  2. Step 2: Convert to fraction form
    150,298.98/207,412.26 = 82,315.98/x
  3. Step 3: Cross multiply
    150,298.98x = 207,412.26 × 82,315.98
  4. Step 4: Simplify right side
    150,298.98x = 17,073,343,445.91
  5. Step 5: Solve for x
    x = 17,073,343,445.91/150,298.98
  6. Step 6: Final answer
    x = 113,595.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.