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Finding the Fourth Proportional to 211,045.50, 291,270.60 and 120,380.72

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Solution

The fourth proportional to 211,045.50, 291,270.60 and 120,380.72 is: 166,141.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,045.50 : 291,270.60 = 120,380.72 : x
  2. Step 2: Convert to fraction form
    211,045.50/291,270.60 = 120,380.72/x
  3. Step 3: Cross multiply
    211,045.50x = 291,270.60 × 120,380.72
  4. Step 4: Simplify right side
    211,045.50x = 35,063,363,086.48
  5. Step 5: Solve for x
    x = 35,063,363,086.48/211,045.50
  6. Step 6: Final answer
    x = 166,141.25

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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.