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Finding the Fourth Proportional to 202,696.91, 304,094.92 and 142,842.14

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Solution

The fourth proportional to 202,696.91, 304,094.92 and 142,842.14 is: 214,298.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,696.91 : 304,094.92 = 142,842.14 : x
  2. Step 2: Convert to fraction form
    202,696.91/304,094.92 = 142,842.14/x
  3. Step 3: Cross multiply
    202,696.91x = 304,094.92 × 142,842.14
  4. Step 4: Simplify right side
    202,696.91x = 43,437,569,135.93
  5. Step 5: Solve for x
    x = 43,437,569,135.93/202,696.91
  6. Step 6: Final answer
    x = 214,298.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.