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Finding the Fourth Proportional to 202,101.48, 278,896.36 and 111,465.84

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Solution

The fourth proportional to 202,101.48, 278,896.36 and 111,465.84 is: 153,820.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,101.48 : 278,896.36 = 111,465.84 : x
  2. Step 2: Convert to fraction form
    202,101.48/278,896.36 = 111,465.84/x
  3. Step 3: Cross multiply
    202,101.48x = 278,896.36 × 111,465.84
  4. Step 4: Simplify right side
    202,101.48x = 31,087,417,040.34
  5. Step 5: Solve for x
    x = 31,087,417,040.34/202,101.48
  6. Step 6: Final answer
    x = 153,820.83

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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.