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Finding the Fourth Proportional to 211,580.30, 291,980.79 and 120,938.20

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Solution

The fourth proportional to 211,580.30, 291,980.79 and 120,938.20 is: 166,894.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,580.30 : 291,980.79 = 120,938.20 : x
  2. Step 2: Convert to fraction form
    211,580.30/291,980.79 = 120,938.20/x
  3. Step 3: Cross multiply
    211,580.30x = 291,980.79 × 120,938.20
  4. Step 4: Simplify right side
    211,580.30x = 35,311,631,177.18
  5. Step 5: Solve for x
    x = 35,311,631,177.18/211,580.30
  6. Step 6: Final answer
    x = 166,894.70

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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.