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Finding the Fourth Proportional to 224,946.40, 337,808.40 and 146,408.80

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Solution

The fourth proportional to 224,946.40, 337,808.40 and 146,408.80 is: 219,866.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,946.40 : 337,808.40 = 146,408.80 : x
  2. Step 2: Convert to fraction form
    224,946.40/337,808.40 = 146,408.80/x
  3. Step 3: Cross multiply
    224,946.40x = 337,808.40 × 146,408.80
  4. Step 4: Simplify right side
    224,946.40x = 49,458,122,473.92
  5. Step 5: Solve for x
    x = 49,458,122,473.92/224,946.40
  6. Step 6: Final answer
    x = 219,866.25

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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.