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Finding the Fourth Proportional to 265,006.40, 365,713.60 and 144,150.40

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Solution

The fourth proportional to 265,006.40, 365,713.60 and 144,150.40 is: 198,930.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,006.40 : 365,713.60 = 144,150.40 : x
  2. Step 2: Convert to fraction form
    265,006.40/365,713.60 = 144,150.40/x
  3. Step 3: Cross multiply
    265,006.40x = 365,713.60 × 144,150.40
  4. Step 4: Simplify right side
    265,006.40x = 52,717,761,725.44
  5. Step 5: Solve for x
    x = 52,717,761,725.44/265,006.40
  6. Step 6: Final answer
    x = 198,930.15

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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.