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Finding the Fourth Proportional to 212,164.14, 292,794.06 and 116,678.10

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Solution

The fourth proportional to 212,164.14, 292,794.06 and 116,678.10 is: 161,019.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,164.14 : 292,794.06 = 116,678.10 : x
  2. Step 2: Convert to fraction form
    212,164.14/292,794.06 = 116,678.10/x
  3. Step 3: Cross multiply
    212,164.14x = 292,794.06 × 116,678.10
  4. Step 4: Simplify right side
    212,164.14x = 34,162,654,612.09
  5. Step 5: Solve for x
    x = 34,162,654,612.09/212,164.14
  6. Step 6: Final answer
    x = 161,019.93

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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.