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Finding the Fourth Proportional to 199,494, 275,301.72 and 110,070

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Solution

The fourth proportional to 199,494, 275,301.72 and 110,070 is: 151,896.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,494 : 275,301.72 = 110,070 : x
  2. Step 2: Convert to fraction form
    199,494/275,301.72 = 110,070/x
  3. Step 3: Cross multiply
    199,494x = 275,301.72 × 110,070
  4. Step 4: Simplify right side
    199,494x = 30,302,460,320.40
  5. Step 5: Solve for x
    x = 30,302,460,320.40/199,494
  6. Step 6: Final answer
    x = 151,896.60

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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.