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Finding the Fourth Proportional to 191,713, 264,569.34 and 106,835.54

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Solution

The fourth proportional to 191,713, 264,569.34 and 106,835.54 is: 147,436.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,713 : 264,569.34 = 106,835.54 : x
  2. Step 2: Convert to fraction form
    191,713/264,569.34 = 106,835.54/x
  3. Step 3: Cross multiply
    191,713x = 264,569.34 × 106,835.54
  4. Step 4: Simplify right side
    191,713x = 28,265,408,306.34
  5. Step 5: Solve for x
    x = 28,265,408,306.34/191,713
  6. Step 6: Final answer
    x = 147,436.05

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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.