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Finding the Fourth Proportional to 211,809.68, 317,621.22 and 99,521.84

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Solution

The fourth proportional to 211,809.68, 317,621.22 and 99,521.84 is: 149,238.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,809.68 : 317,621.22 = 99,521.84 : x
  2. Step 2: Convert to fraction form
    211,809.68/317,621.22 = 99,521.84/x
  3. Step 3: Cross multiply
    211,809.68x = 317,621.22 × 99,521.84
  4. Step 4: Simplify right side
    211,809.68x = 31,610,248,237.44
  5. Step 5: Solve for x
    x = 31,610,248,237.44/211,809.68
  6. Step 6: Final answer
    x = 149,238.92

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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.