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Finding the Fourth Proportional to 212,784.34, 293,642.32 and 117,292.63

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Solution

The fourth proportional to 212,784.34, 293,642.32 and 117,292.63 is: 161,863.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,784.34 : 293,642.32 = 117,292.63 : x
  2. Step 2: Convert to fraction form
    212,784.34/293,642.32 = 117,292.63/x
  3. Step 3: Cross multiply
    212,784.34x = 293,642.32 × 117,292.63
  4. Step 4: Simplify right side
    212,784.34x = 34,442,079,992.10
  5. Step 5: Solve for x
    x = 34,442,079,992.10/212,784.34
  6. Step 6: Final answer
    x = 161,863.79

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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.