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Finding the Fourth Proportional to 224,271.86, 309,491.28 and 122,298.12

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Solution

The fourth proportional to 224,271.86, 309,491.28 and 122,298.12 is: 168,769.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,271.86 : 309,491.28 = 122,298.12 : x
  2. Step 2: Convert to fraction form
    224,271.86/309,491.28 = 122,298.12/x
  3. Step 3: Cross multiply
    224,271.86x = 309,491.28 × 122,298.12
  4. Step 4: Simplify right side
    224,271.86x = 37,850,201,700.39
  5. Step 5: Solve for x
    x = 37,850,201,700.39/224,271.86
  6. Step 6: Final answer
    x = 168,769.29

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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.