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Finding the Fourth Proportional to 202,590.48, 304,076.40 and 102,822.27

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Solution

The fourth proportional to 202,590.48, 304,076.40 and 102,822.27 is: 154,330.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,590.48 : 304,076.40 = 102,822.27 : x
  2. Step 2: Convert to fraction form
    202,590.48/304,076.40 = 102,822.27/x
  3. Step 3: Cross multiply
    202,590.48x = 304,076.40 × 102,822.27
  4. Step 4: Simplify right side
    202,590.48x = 31,265,825,187.32
  5. Step 5: Solve for x
    x = 31,265,825,187.32/202,590.48
  6. Step 6: Final answer
    x = 154,330.18

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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.