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Finding the Fourth Proportional to 268,057.63, 369,905.02 and 147,214.81

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Solution

The fourth proportional to 268,057.63, 369,905.02 and 147,214.81 is: 203,148.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,057.63 : 369,905.02 = 147,214.81 : x
  2. Step 2: Convert to fraction form
    268,057.63/369,905.02 = 147,214.81/x
  3. Step 3: Cross multiply
    268,057.63x = 369,905.02 × 147,214.81
  4. Step 4: Simplify right side
    268,057.63x = 54,455,497,237.35
  5. Step 5: Solve for x
    x = 54,455,497,237.35/268,057.63
  6. Step 6: Final answer
    x = 203,148.47

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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.