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Finding the Fourth Proportional to 212,686.68, 293,520.72 and 117,193.36

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Solution

The fourth proportional to 212,686.68, 293,520.72 and 117,193.36 is: 161,734.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,686.68 : 293,520.72 = 117,193.36 : x
  2. Step 2: Convert to fraction form
    212,686.68/293,520.72 = 117,193.36/x
  3. Step 3: Cross multiply
    212,686.68x = 293,520.72 × 117,193.36
  4. Step 4: Simplify right side
    212,686.68x = 34,398,679,406.42
  5. Step 5: Solve for x
    x = 34,398,679,406.42/212,686.68
  6. Step 6: Final answer
    x = 161,734.06

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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.