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Finding the Fourth Proportional to 199,742, 275,661.48 and 110,335.28

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Solution

The fourth proportional to 199,742, 275,661.48 and 110,335.28 is: 152,272.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,742 : 275,661.48 = 110,335.28 : x
  2. Step 2: Convert to fraction form
    199,742/275,661.48 = 110,335.28/x
  3. Step 3: Cross multiply
    199,742x = 275,661.48 × 110,335.28
  4. Step 4: Simplify right side
    199,742x = 30,415,186,581.01
  5. Step 5: Solve for x
    x = 30,415,186,581.01/199,742
  6. Step 6: Final answer
    x = 152,272.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.