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Finding the Fourth Proportional to 265,684.32, 366,643.98 and 144,825.84

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Solution

The fourth proportional to 265,684.32, 366,643.98 and 144,825.84 is: 199,859.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,684.32 : 366,643.98 = 144,825.84 : x
  2. Step 2: Convert to fraction form
    265,684.32/366,643.98 = 144,825.84/x
  3. Step 3: Cross multiply
    265,684.32x = 366,643.98 × 144,825.84
  4. Step 4: Simplify right side
    265,684.32x = 53,099,522,384.44
  5. Step 5: Solve for x
    x = 53,099,522,384.44/265,684.32
  6. Step 6: Final answer
    x = 199,859.45

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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.