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Finding the Fourth Proportional to 211,637.84, 317,437.32 and 71,397.68

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Solution

The fourth proportional to 211,637.84, 317,437.32 and 71,397.68 is: 107,089.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,637.84 : 317,437.32 = 71,397.68 : x
  2. Step 2: Convert to fraction form
    211,637.84/317,437.32 = 71,397.68/x
  3. Step 3: Cross multiply
    211,637.84x = 317,437.32 × 71,397.68
  4. Step 4: Simplify right side
    211,637.84x = 22,664,288,193.42
  5. Step 5: Solve for x
    x = 22,664,288,193.42/211,637.84
  6. Step 6: Final answer
    x = 107,089.96

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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.