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Finding the Fourth Proportional to 202,362.59, 279,296.92 and 120,696.08

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Solution

The fourth proportional to 202,362.59, 279,296.92 and 120,696.08 is: 166,582.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,362.59 : 279,296.92 = 120,696.08 : x
  2. Step 2: Convert to fraction form
    202,362.59/279,296.92 = 120,696.08/x
  3. Step 3: Cross multiply
    202,362.59x = 279,296.92 × 120,696.08
  4. Step 4: Simplify right side
    202,362.59x = 33,710,041,701.85
  5. Step 5: Solve for x
    x = 33,710,041,701.85/202,362.59
  6. Step 6: Final answer
    x = 166,582.38

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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.