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Finding the Fourth Proportional to 191,880.96, 264,786 and 106,981.68

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Solution

The fourth proportional to 191,880.96, 264,786 and 106,981.68 is: 147,629.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,880.96 : 264,786 = 106,981.68 : x
  2. Step 2: Convert to fraction form
    191,880.96/264,786 = 106,981.68/x
  3. Step 3: Cross multiply
    191,880.96x = 264,786 × 106,981.68
  4. Step 4: Simplify right side
    191,880.96x = 28,327,251,120.48
  5. Step 5: Solve for x
    x = 28,327,251,120.48/191,880.96
  6. Step 6: Final answer
    x = 147,629.30

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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.