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Finding the Fourth Proportional to 144,643.14, 199,619.88 and 84,232.73

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Solution

The fourth proportional to 144,643.14, 199,619.88 and 84,232.73 is: 116,248.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,643.14 : 199,619.88 = 84,232.73 : x
  2. Step 2: Convert to fraction form
    144,643.14/199,619.88 = 84,232.73/x
  3. Step 3: Cross multiply
    144,643.14x = 199,619.88 × 84,232.73
  4. Step 4: Simplify right side
    144,643.14x = 16,814,527,454.67
  5. Step 5: Solve for x
    x = 16,814,527,454.67/144,643.14
  6. Step 6: Final answer
    x = 116,248.36

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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.