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Finding the Fourth Proportional to 211,616.10, 292,030.06 and 120,974.06

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Solution

The fourth proportional to 211,616.10, 292,030.06 and 120,974.06 is: 166,944.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,616.10 : 292,030.06 = 120,974.06 : x
  2. Step 2: Convert to fraction form
    211,616.10/292,030.06 = 120,974.06/x
  3. Step 3: Cross multiply
    211,616.10x = 292,030.06 × 120,974.06
  4. Step 4: Simplify right side
    211,616.10x = 35,328,062,000.24
  5. Step 5: Solve for x
    x = 35,328,062,000.24/211,616.10
  6. Step 6: Final answer
    x = 166,944.11

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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.