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Finding the Fourth Proportional to 138,705.82, 208,058.74 and 33,524.76

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Solution

The fourth proportional to 138,705.82, 208,058.74 and 33,524.76 is: 50,287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,705.82 : 208,058.74 = 33,524.76 : x
  2. Step 2: Convert to fraction form
    138,705.82/208,058.74 = 33,524.76/x
  3. Step 3: Cross multiply
    138,705.82x = 208,058.74 × 33,524.76
  4. Step 4: Simplify right side
    138,705.82x = 6,975,119,324.40
  5. Step 5: Solve for x
    x = 6,975,119,324.40/138,705.82
  6. Step 6: Final answer
    x = 50,287.14

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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.