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Finding the Fourth Proportional to 164,224.02, 226,671.84 and 107,020.20

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Solution

The fourth proportional to 164,224.02, 226,671.84 and 107,020.20 is: 147,715.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,224.02 : 226,671.84 = 107,020.20 : x
  2. Step 2: Convert to fraction form
    164,224.02/226,671.84 = 107,020.20/x
  3. Step 3: Cross multiply
    164,224.02x = 226,671.84 × 107,020.20
  4. Step 4: Simplify right side
    164,224.02x = 24,258,465,651.17
  5. Step 5: Solve for x
    x = 24,258,465,651.17/164,224.02
  6. Step 6: Final answer
    x = 147,715.70

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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.