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Finding the Fourth Proportional to 202,742.24, 279,722.84 and 141,486.80

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Solution

The fourth proportional to 202,742.24, 279,722.84 and 141,486.80 is: 195,208.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,742.24 : 279,722.84 = 141,486.80 : x
  2. Step 2: Convert to fraction form
    202,742.24/279,722.84 = 141,486.80/x
  3. Step 3: Cross multiply
    202,742.24x = 279,722.84 × 141,486.80
  4. Step 4: Simplify right side
    202,742.24x = 39,577,087,412.46
  5. Step 5: Solve for x
    x = 39,577,087,412.46/202,742.24
  6. Step 6: Final answer
    x = 195,208.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.