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Finding the Fourth Proportional to 164,114.63, 226,478.81 and 103,712.12

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Solution

The fourth proportional to 164,114.63, 226,478.81 and 103,712.12 is: 143,123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,114.63 : 226,478.81 = 103,712.12 : x
  2. Step 2: Convert to fraction form
    164,114.63/226,478.81 = 103,712.12/x
  3. Step 3: Cross multiply
    164,114.63x = 226,478.81 × 103,712.12
  4. Step 4: Simplify right side
    164,114.63x = 23,488,597,520.18
  5. Step 5: Solve for x
    x = 23,488,597,520.18/164,114.63
  6. Step 6: Final answer
    x = 143,123.12

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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.