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Finding the Fourth Proportional to 161,085.51, 222,309.97 and 99,843.74

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Solution

The fourth proportional to 161,085.51, 222,309.97 and 99,843.74 is: 137,791.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,085.51 : 222,309.97 = 99,843.74 : x
  2. Step 2: Convert to fraction form
    161,085.51/222,309.97 = 99,843.74/x
  3. Step 3: Cross multiply
    161,085.51x = 222,309.97 × 99,843.74
  4. Step 4: Simplify right side
    161,085.51x = 22,196,258,316.59
  5. Step 5: Solve for x
    x = 22,196,258,316.59/161,085.51
  6. Step 6: Final answer
    x = 137,791.77

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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.