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Finding the Fourth Proportional to 224,812.86, 310,238.12 and 122,836.13

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Solution

The fourth proportional to 224,812.86, 310,238.12 and 122,836.13 is: 169,511.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,812.86 : 310,238.12 = 122,836.13 : x
  2. Step 2: Convert to fraction form
    224,812.86/310,238.12 = 122,836.13/x
  3. Step 3: Cross multiply
    224,812.86x = 310,238.12 × 122,836.13
  4. Step 4: Simplify right side
    224,812.86x = 38,108,447,873.90
  5. Step 5: Solve for x
    x = 38,108,447,873.90/224,812.86
  6. Step 6: Final answer
    x = 169,511.87

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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.