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Finding the Fourth Proportional to 214,384.70, 295,831.50 and 118,891.10

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Solution

The fourth proportional to 214,384.70, 295,831.50 and 118,891.10 is: 164,058.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,384.70 : 295,831.50 = 118,891.10 : x
  2. Step 2: Convert to fraction form
    214,384.70/295,831.50 = 118,891.10/x
  3. Step 3: Cross multiply
    214,384.70x = 295,831.50 × 118,891.10
  4. Step 4: Simplify right side
    214,384.70x = 35,171,732,449.65
  5. Step 5: Solve for x
    x = 35,171,732,449.65/214,384.70
  6. Step 6: Final answer
    x = 164,058.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.