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Finding the Fourth Proportional to 268,709.86, 402,178.92 and 148,582.14

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Solution

The fourth proportional to 268,709.86, 402,178.92 and 148,582.14 is: 222,383.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,709.86 : 402,178.92 = 148,582.14 : x
  2. Step 2: Convert to fraction form
    268,709.86/402,178.92 = 148,582.14/x
  3. Step 3: Cross multiply
    268,709.86x = 402,178.92 × 148,582.14
  4. Step 4: Simplify right side
    268,709.86x = 59,756,604,596.49
  5. Step 5: Solve for x
    x = 59,756,604,596.49/268,709.86
  6. Step 6: Final answer
    x = 222,383.37

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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.