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Finding the Fourth Proportional to 211,168.47, 291,417.18 and 120,522.60

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Solution

The fourth proportional to 211,168.47, 291,417.18 and 120,522.60 is: 166,323.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,168.47 : 291,417.18 = 120,522.60 : x
  2. Step 2: Convert to fraction form
    211,168.47/291,417.18 = 120,522.60/x
  3. Step 3: Cross multiply
    211,168.47x = 291,417.18 × 120,522.60
  4. Step 4: Simplify right side
    211,168.47x = 35,122,356,218.27
  5. Step 5: Solve for x
    x = 35,122,356,218.27/211,168.47
  6. Step 6: Final answer
    x = 166,323.87

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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.