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Finding the Fourth Proportional to 211,888.40, 317,832.56 and 54,111.20

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Solution

The fourth proportional to 211,888.40, 317,832.56 and 54,111.20 is: 81,166.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,888.40 : 317,832.56 = 54,111.20 : x
  2. Step 2: Convert to fraction form
    211,888.40/317,832.56 = 54,111.20/x
  3. Step 3: Cross multiply
    211,888.40x = 317,832.56 × 54,111.20
  4. Step 4: Simplify right side
    211,888.40x = 17,198,301,220.67
  5. Step 5: Solve for x
    x = 17,198,301,220.67/211,888.40
  6. Step 6: Final answer
    x = 81,166.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.