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Finding the Fourth Proportional to 260,627.84, 359,705.10 and 165,143.48

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Solution

The fourth proportional to 260,627.84, 359,705.10 and 165,143.48 is: 227,922.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,627.84 : 359,705.10 = 165,143.48 : x
  2. Step 2: Convert to fraction form
    260,627.84/359,705.10 = 165,143.48/x
  3. Step 3: Cross multiply
    260,627.84x = 359,705.10 × 165,143.48
  4. Step 4: Simplify right side
    260,627.84x = 59,402,951,987.75
  5. Step 5: Solve for x
    x = 59,402,951,987.75/260,627.84
  6. Step 6: Final answer
    x = 227,922.51

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1.5x scale

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.