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Finding the Fourth Proportional to 144,409.52, 199,224.66 and 112,523.06

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Solution

The fourth proportional to 144,409.52, 199,224.66 and 112,523.06 is: 155,234.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,409.52 : 199,224.66 = 112,523.06 : x
  2. Step 2: Convert to fraction form
    144,409.52/199,224.66 = 112,523.06/x
  3. Step 3: Cross multiply
    144,409.52x = 199,224.66 × 112,523.06
  4. Step 4: Simplify right side
    144,409.52x = 22,417,368,370.66
  5. Step 5: Solve for x
    x = 22,417,368,370.66/144,409.52
  6. Step 6: Final answer
    x = 155,234.70

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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.