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Finding the Fourth Proportional to 211,678.54, 292,119.96 and 116,194.12

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Solution

The fourth proportional to 211,678.54, 292,119.96 and 116,194.12 is: 160,349.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,678.54 : 292,119.96 = 116,194.12 : x
  2. Step 2: Convert to fraction form
    211,678.54/292,119.96 = 116,194.12/x
  3. Step 3: Cross multiply
    211,678.54x = 292,119.96 × 116,194.12
  4. Step 4: Simplify right side
    211,678.54x = 33,942,621,686.64
  5. Step 5: Solve for x
    x = 33,942,621,686.64/211,678.54
  6. Step 6: Final answer
    x = 160,349.85

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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.