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Finding the Fourth Proportional to 164,567.70, 226,947.42 and 113,498.82

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Solution

The fourth proportional to 164,567.70, 226,947.42 and 113,498.82 is: 156,520.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,567.70 : 226,947.42 = 113,498.82 : x
  2. Step 2: Convert to fraction form
    164,567.70/226,947.42 = 113,498.82/x
  3. Step 3: Cross multiply
    164,567.70x = 226,947.42 × 113,498.82
  4. Step 4: Simplify right side
    164,567.70x = 25,758,264,372.04
  5. Step 5: Solve for x
    x = 25,758,264,372.04/164,567.70
  6. Step 6: Final answer
    x = 156,520.78

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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.