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Finding the Fourth Proportional to 135,386, 186,806.76 and 87,632.72

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Solution

The fourth proportional to 135,386, 186,806.76 and 87,632.72 is: 120,916.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,386 : 186,806.76 = 87,632.72 : x
  2. Step 2: Convert to fraction form
    135,386/186,806.76 = 87,632.72/x
  3. Step 3: Cross multiply
    135,386x = 186,806.76 × 87,632.72
  4. Step 4: Simplify right side
    135,386x = 16,370,384,493.19
  5. Step 5: Solve for x
    x = 16,370,384,493.19/135,386
  6. Step 6: Final answer
    x = 120,916.38

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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.