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Finding the Fourth Proportional to 136,930.63, 205,393.71 and 52,709.08

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Solution

The fourth proportional to 136,930.63, 205,393.71 and 52,709.08 is: 79,062.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,930.63 : 205,393.71 = 52,709.08 : x
  2. Step 2: Convert to fraction form
    136,930.63/205,393.71 = 52,709.08/x
  3. Step 3: Cross multiply
    136,930.63x = 205,393.71 × 52,709.08
  4. Step 4: Simplify right side
    136,930.63x = 10,826,113,491.89
  5. Step 5: Solve for x
    x = 10,826,113,491.89/136,930.63
  6. Step 6: Final answer
    x = 79,062.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.