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Finding the Fourth Proportional to 202,197.36, 279,029.70 and 111,557.14

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Solution

The fourth proportional to 202,197.36, 279,029.70 and 111,557.14 is: 153,947.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,197.36 : 279,029.70 = 111,557.14 : x
  2. Step 2: Convert to fraction form
    202,197.36/279,029.70 = 111,557.14/x
  3. Step 3: Cross multiply
    202,197.36x = 279,029.70 × 111,557.14
  4. Step 4: Simplify right side
    202,197.36x = 31,127,755,307.06
  5. Step 5: Solve for x
    x = 31,127,755,307.06/202,197.36
  6. Step 6: Final answer
    x = 153,947.39

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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.