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Finding the Fourth Proportional to 150,253.89, 207,349.61 and 82,269.63

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Solution

The fourth proportional to 150,253.89, 207,349.61 and 82,269.63 is: 113,531.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,253.89 : 207,349.61 = 82,269.63 : x
  2. Step 2: Convert to fraction form
    150,253.89/207,349.61 = 82,269.63/x
  3. Step 3: Cross multiply
    150,253.89x = 207,349.61 × 82,269.63
  4. Step 4: Simplify right side
    150,253.89x = 17,058,575,695.34
  5. Step 5: Solve for x
    x = 17,058,575,695.34/150,253.89
  6. Step 6: Final answer
    x = 113,531.67

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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.