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Finding the Fourth Proportional to 114,105.49, 157,412.54 and 73,832.25

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Solution

The fourth proportional to 114,105.49, 157,412.54 and 73,832.25 is: 101,854.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,105.49 : 157,412.54 = 73,832.25 : x
  2. Step 2: Convert to fraction form
    114,105.49/157,412.54 = 73,832.25/x
  3. Step 3: Cross multiply
    114,105.49x = 157,412.54 × 73,832.25
  4. Step 4: Simplify right side
    114,105.49x = 11,622,122,781.29
  5. Step 5: Solve for x
    x = 11,622,122,781.29/114,105.49
  6. Step 6: Final answer
    x = 101,854.20

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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.