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Finding the Fourth Proportional to 202,079.60, 278,871.60 and 111,438.77

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Solution

The fourth proportional to 202,079.60, 278,871.60 and 111,438.77 is: 153,786.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,079.60 : 278,871.60 = 111,438.77 : x
  2. Step 2: Convert to fraction form
    202,079.60/278,871.60 = 111,438.77/x
  3. Step 3: Cross multiply
    202,079.60x = 278,871.60 × 111,438.77
  4. Step 4: Simplify right side
    202,079.60x = 31,077,106,697.57
  5. Step 5: Solve for x
    x = 31,077,106,697.57/202,079.60
  6. Step 6: Final answer
    x = 153,786.47

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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.