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Finding the Fourth Proportional to 144,642.65, 199,619.19 and 84,232.23

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Solution

The fourth proportional to 144,642.65, 199,619.19 and 84,232.23 is: 116,247.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,642.65 : 199,619.19 = 84,232.23 : x
  2. Step 2: Convert to fraction form
    144,642.65/199,619.19 = 84,232.23/x
  3. Step 3: Cross multiply
    144,642.65x = 199,619.19 × 84,232.23
  4. Step 4: Simplify right side
    144,642.65x = 16,814,369,524.49
  5. Step 5: Solve for x
    x = 16,814,369,524.49/144,642.65
  6. Step 6: Final answer
    x = 116,247.66

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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.