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Finding the Fourth Proportional to 211,133.54, 291,369 and 120,487.70

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Solution

The fourth proportional to 211,133.54, 291,369 and 120,487.70 is: 166,275.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,133.54 : 291,369 = 120,487.70 : x
  2. Step 2: Convert to fraction form
    211,133.54/291,369 = 120,487.70/x
  3. Step 3: Cross multiply
    211,133.54x = 291,369 × 120,487.70
  4. Step 4: Simplify right side
    211,133.54x = 35,106,379,204.46
  5. Step 5: Solve for x
    x = 35,106,379,204.46/211,133.54
  6. Step 6: Final answer
    x = 166,275.71

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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.