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Finding the Fourth Proportional to 224,004.65, 336,056.13 and 164,660.40

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Solution

The fourth proportional to 224,004.65, 336,056.13 and 164,660.40 is: 247,026.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,004.65 : 336,056.13 = 164,660.40 : x
  2. Step 2: Convert to fraction form
    224,004.65/336,056.13 = 164,660.40/x
  3. Step 3: Cross multiply
    224,004.65x = 336,056.13 × 164,660.40
  4. Step 4: Simplify right side
    224,004.65x = 55,335,136,788.25
  5. Step 5: Solve for x
    x = 55,335,136,788.25/224,004.65
  6. Step 6: Final answer
    x = 247,026.74

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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.