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Finding the Fourth Proportional to 224,235, 309,446.72 and 122,259.63

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Solution

The fourth proportional to 224,235, 309,446.72 and 122,259.63 is: 168,719.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,235 : 309,446.72 = 122,259.63 : x
  2. Step 2: Convert to fraction form
    224,235/309,446.72 = 122,259.63/x
  3. Step 3: Cross multiply
    224,235x = 309,446.72 × 122,259.63
  4. Step 4: Simplify right side
    224,235x = 37,832,841,491.91
  5. Step 5: Solve for x
    x = 37,832,841,491.91/224,235
  6. Step 6: Final answer
    x = 168,719.61

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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.