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Finding the Fourth Proportional to 252,665.38, 378,569.84 and 152,615.36

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Solution

The fourth proportional to 252,665.38, 378,569.84 and 152,615.36 is: 228,664.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,665.38 : 378,569.84 = 152,615.36 : x
  2. Step 2: Convert to fraction form
    252,665.38/378,569.84 = 152,615.36/x
  3. Step 3: Cross multiply
    252,665.38x = 378,569.84 × 152,615.36
  4. Step 4: Simplify right side
    252,665.38x = 57,775,572,416.74
  5. Step 5: Solve for x
    x = 57,775,572,416.74/252,665.38
  6. Step 6: Final answer
    x = 228,664.38

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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.