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Finding the Fourth Proportional to 150,908.40, 208,193.87 and 97,224.72

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Solution

The fourth proportional to 150,908.40, 208,193.87 and 97,224.72 is: 134,131.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,908.40 : 208,193.87 = 97,224.72 : x
  2. Step 2: Convert to fraction form
    150,908.40/208,193.87 = 97,224.72/x
  3. Step 3: Cross multiply
    150,908.40x = 208,193.87 × 97,224.72
  4. Step 4: Simplify right side
    150,908.40x = 20,241,590,230.34
  5. Step 5: Solve for x
    x = 20,241,590,230.34/150,908.40
  6. Step 6: Final answer
    x = 134,131.63

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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.