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Finding the Fourth Proportional to 223,083.60, 334,738.80 and 148,255.80

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Solution

The fourth proportional to 223,083.60, 334,738.80 and 148,255.80 is: 222,459.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,083.60 : 334,738.80 = 148,255.80 : x
  2. Step 2: Convert to fraction form
    223,083.60/334,738.80 = 148,255.80/x
  3. Step 3: Cross multiply
    223,083.60x = 334,738.80 × 148,255.80
  4. Step 4: Simplify right side
    223,083.60x = 49,626,968,585.04
  5. Step 5: Solve for x
    x = 49,626,968,585.04/223,083.60
  6. Step 6: Final answer
    x = 222,459.06

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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.