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Finding the Fourth Proportional to 202,643.13, 279,638.82 and 111,994.41

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Solution

The fourth proportional to 202,643.13, 279,638.82 and 111,994.41 is: 154,547.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,643.13 : 279,638.82 = 111,994.41 : x
  2. Step 2: Convert to fraction form
    202,643.13/279,638.82 = 111,994.41/x
  3. Step 3: Cross multiply
    202,643.13x = 279,638.82 × 111,994.41
  4. Step 4: Simplify right side
    202,643.13x = 31,317,984,659.00
  5. Step 5: Solve for x
    x = 31,317,984,659.00/202,643.13
  6. Step 6: Final answer
    x = 154,547.48

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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.