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Finding the Fourth Proportional to 268,323.88, 370,269.02 and 147,462.58

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Solution

The fourth proportional to 268,323.88, 370,269.02 and 147,462.58 is: 203,488.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,323.88 : 370,269.02 = 147,462.58 : x
  2. Step 2: Convert to fraction form
    268,323.88/370,269.02 = 147,462.58/x
  3. Step 3: Cross multiply
    268,323.88x = 370,269.02 × 147,462.58
  4. Step 4: Simplify right side
    268,323.88x = 54,600,824,983.27
  5. Step 5: Solve for x
    x = 54,600,824,983.27/268,323.88
  6. Step 6: Final answer
    x = 203,488.50

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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.