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Finding the Fourth Proportional to 224,456.04, 336,363.26 and 164,823.88

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Solution

The fourth proportional to 224,456.04, 336,363.26 and 164,823.88 is: 247,000.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,456.04 : 336,363.26 = 164,823.88 : x
  2. Step 2: Convert to fraction form
    224,456.04/336,363.26 = 164,823.88/x
  3. Step 3: Cross multiply
    224,456.04x = 336,363.26 × 164,823.88
  4. Step 4: Simplify right side
    224,456.04x = 55,440,697,602.65
  5. Step 5: Solve for x
    x = 55,440,697,602.65/224,456.04
  6. Step 6: Final answer
    x = 247,000.25

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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.