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Finding the Fourth Proportional to 224,408.48, 309,710.93 and 163,948.86

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Solution

The fourth proportional to 224,408.48, 309,710.93 and 163,948.86 is: 226,269.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,408.48 : 309,710.93 = 163,948.86 : x
  2. Step 2: Convert to fraction form
    224,408.48/309,710.93 = 163,948.86/x
  3. Step 3: Cross multiply
    224,408.48x = 309,710.93 × 163,948.86
  4. Step 4: Simplify right side
    224,408.48x = 50,776,753,903.04
  5. Step 5: Solve for x
    x = 50,776,753,903.04/224,408.48
  6. Step 6: Final answer
    x = 226,269.32

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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.