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Finding the Fourth Proportional to 212,590.43, 293,374.76 and 117,097.13

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Solution

The fourth proportional to 212,590.43, 293,374.76 and 117,097.13 is: 161,594.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,590.43 : 293,374.76 = 117,097.13 : x
  2. Step 2: Convert to fraction form
    212,590.43/293,374.76 = 117,097.13/x
  3. Step 3: Cross multiply
    212,590.43x = 293,374.76 × 117,097.13
  4. Step 4: Simplify right side
    212,590.43x = 34,353,340,358.08
  5. Step 5: Solve for x
    x = 34,353,340,358.08/212,590.43
  6. Step 6: Final answer
    x = 161,594.02

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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.