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Finding the Fourth Proportional to 155,167.84, 214,140.78 and 116,859.80

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Solution

The fourth proportional to 155,167.84, 214,140.78 and 116,859.80 is: 161,273.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,167.84 : 214,140.78 = 116,859.80 : x
  2. Step 2: Convert to fraction form
    155,167.84/214,140.78 = 116,859.80/x
  3. Step 3: Cross multiply
    155,167.84x = 214,140.78 × 116,859.80
  4. Step 4: Simplify right side
    155,167.84x = 25,024,448,722.64
  5. Step 5: Solve for x
    x = 25,024,448,722.64/155,167.84
  6. Step 6: Final answer
    x = 161,273.42

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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.