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Finding the Fourth Proportional to 224,065.16, 336,154.38 and 66,293

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Solution

The fourth proportional to 224,065.16, 336,154.38 and 66,293 is: 99,456.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,065.16 : 336,154.38 = 66,293 : x
  2. Step 2: Convert to fraction form
    224,065.16/336,154.38 = 66,293/x
  3. Step 3: Cross multiply
    224,065.16x = 336,154.38 × 66,293
  4. Step 4: Simplify right side
    224,065.16x = 22,284,682,313.34
  5. Step 5: Solve for x
    x = 22,284,682,313.34/224,065.16
  6. Step 6: Final answer
    x = 99,456.26

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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.