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Finding the Fourth Proportional to 141,192, 211,831.74 and 58,086

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Solution

The fourth proportional to 141,192, 211,831.74 and 58,086 is: 87,146.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,192 : 211,831.74 = 58,086 : x
  2. Step 2: Convert to fraction form
    141,192/211,831.74 = 58,086/x
  3. Step 3: Cross multiply
    141,192x = 211,831.74 × 58,086
  4. Step 4: Simplify right side
    141,192x = 12,304,458,449.64
  5. Step 5: Solve for x
    x = 12,304,458,449.64/141,192
  6. Step 6: Final answer
    x = 87,146.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.