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Finding the Fourth Proportional to 224,412.54, 336,298.05 and 164,780.34

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Solution

The fourth proportional to 224,412.54, 336,298.05 and 164,780.34 is: 246,934.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,412.54 : 336,298.05 = 164,780.34 : x
  2. Step 2: Convert to fraction form
    224,412.54/336,298.05 = 164,780.34/x
  3. Step 3: Cross multiply
    224,412.54x = 336,298.05 × 164,780.34
  4. Step 4: Simplify right side
    224,412.54x = 55,415,307,020.34
  5. Step 5: Solve for x
    x = 55,415,307,020.34/224,412.54
  6. Step 6: Final answer
    x = 246,934.98

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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.