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Finding the Fourth Proportional to 224,053.78, 309,097.06 and 133,358.89

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Solution

The fourth proportional to 224,053.78, 309,097.06 and 133,358.89 is: 183,977.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,053.78 : 309,097.06 = 133,358.89 : x
  2. Step 2: Convert to fraction form
    224,053.78/309,097.06 = 133,358.89/x
  3. Step 3: Cross multiply
    224,053.78x = 309,097.06 × 133,358.89
  4. Step 4: Simplify right side
    224,053.78x = 41,220,840,823.86
  5. Step 5: Solve for x
    x = 41,220,840,823.86/224,053.78
  6. Step 6: Final answer
    x = 183,977.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.