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Finding the Fourth Proportional to 265,089.87, 365,813.10 and 144,231.64

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Solution

The fourth proportional to 265,089.87, 365,813.10 and 144,231.64 is: 199,033.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,089.87 : 365,813.10 = 144,231.64 : x
  2. Step 2: Convert to fraction form
    265,089.87/365,813.10 = 144,231.64/x
  3. Step 3: Cross multiply
    265,089.87x = 365,813.10 × 144,231.64
  4. Step 4: Simplify right side
    265,089.87x = 52,761,823,346.48
  5. Step 5: Solve for x
    x = 52,761,823,346.48/265,089.87
  6. Step 6: Final answer
    x = 199,033.72

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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.