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Finding the Fourth Proportional to 211,031, 291,250.53 and 120,366.15

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Solution

The fourth proportional to 211,031, 291,250.53 and 120,366.15 is: 166,121.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,031 : 291,250.53 = 120,366.15 : x
  2. Step 2: Convert to fraction form
    211,031/291,250.53 = 120,366.15/x
  3. Step 3: Cross multiply
    211,031x = 291,250.53 × 120,366.15
  4. Step 4: Simplify right side
    211,031x = 35,056,704,981.56
  5. Step 5: Solve for x
    x = 35,056,704,981.56/211,031
  6. Step 6: Final answer
    x = 166,121.11

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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.