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Finding the Fourth Proportional to 265,831, 366,841.74 and 144,973.24

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Solution

The fourth proportional to 265,831, 366,841.74 and 144,973.24 is: 200,060.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,831 : 366,841.74 = 144,973.24 : x
  2. Step 2: Convert to fraction form
    265,831/366,841.74 = 144,973.24/x
  3. Step 3: Cross multiply
    265,831x = 366,841.74 × 144,973.24
  4. Step 4: Simplify right side
    265,831x = 53,182,235,615.04
  5. Step 5: Solve for x
    x = 53,182,235,615.04/265,831
  6. Step 6: Final answer
    x = 200,060.32

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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.