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Finding the Fourth Proportional to 191,521.97, 264,302.14 and 106,640.85

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Solution

The fourth proportional to 191,521.97, 264,302.14 and 106,640.85 is: 147,165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,521.97 : 264,302.14 = 106,640.85 : x
  2. Step 2: Convert to fraction form
    191,521.97/264,302.14 = 106,640.85/x
  3. Step 3: Cross multiply
    191,521.97x = 264,302.14 × 106,640.85
  4. Step 4: Simplify right side
    191,521.97x = 28,185,405,790.90
  5. Step 5: Solve for x
    x = 28,185,405,790.90/191,521.97
  6. Step 6: Final answer
    x = 147,165.39

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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.