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Finding the Fourth Proportional to 212,784.39, 293,644.47 and 117,294.50

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Solution

The fourth proportional to 212,784.39, 293,644.47 and 117,294.50 is: 161,867.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,784.39 : 293,644.47 = 117,294.50 : x
  2. Step 2: Convert to fraction form
    212,784.39/293,644.47 = 117,294.50/x
  3. Step 3: Cross multiply
    212,784.39x = 293,644.47 × 117,294.50
  4. Step 4: Simplify right side
    212,784.39x = 34,442,879,818.19
  5. Step 5: Solve for x
    x = 34,442,879,818.19/212,784.39
  6. Step 6: Final answer
    x = 161,867.51

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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.