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Finding the Fourth Proportional to 218,045.76, 300,817.71 and 160,822.44

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Solution

The fourth proportional to 218,045.76, 300,817.71 and 160,822.44 is: 221,871.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,045.76 : 300,817.71 = 160,822.44 : x
  2. Step 2: Convert to fraction form
    218,045.76/300,817.71 = 160,822.44/x
  3. Step 3: Cross multiply
    218,045.76x = 300,817.71 × 160,822.44
  4. Step 4: Simplify right side
    218,045.76x = 48,378,238,117.41
  5. Step 5: Solve for x
    x = 48,378,238,117.41/218,045.76
  6. Step 6: Final answer
    x = 221,871.95

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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.