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Finding the Fourth Proportional to 201,489.32, 278,055.84 and 110,851.16

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Solution

The fourth proportional to 201,489.32, 278,055.84 and 110,851.16 is: 152,974.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,489.32 : 278,055.84 = 110,851.16 : x
  2. Step 2: Convert to fraction form
    201,489.32/278,055.84 = 110,851.16/x
  3. Step 3: Cross multiply
    201,489.32x = 278,055.84 × 110,851.16
  4. Step 4: Simplify right side
    201,489.32x = 30,822,812,408.77
  5. Step 5: Solve for x
    x = 30,822,812,408.77/201,489.32
  6. Step 6: Final answer
    x = 152,974.92

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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.