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Finding the Fourth Proportional to 212,783.99, 293,643.90 and 117,294.12

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Solution

The fourth proportional to 212,783.99, 293,643.90 and 117,294.12 is: 161,866.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,783.99 : 293,643.90 = 117,294.12 : x
  2. Step 2: Convert to fraction form
    212,783.99/293,643.90 = 117,294.12/x
  3. Step 3: Cross multiply
    212,783.99x = 293,643.90 × 117,294.12
  4. Step 4: Simplify right side
    212,783.99x = 34,442,702,843.87
  5. Step 5: Solve for x
    x = 34,442,702,843.87/212,783.99
  6. Step 6: Final answer
    x = 161,866.99

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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.