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Finding the Fourth Proportional to 77,156.82, 115,672.94 and 70,929.00

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Solution

The fourth proportional to 77,156.82, 115,672.94 and 70,929.00 is: 106,336.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,156.82 : 115,672.94 = 70,929.00 : x
  2. Step 2: Convert to fraction form
    77,156.82/115,672.94 = 70,929.00/x
  3. Step 3: Cross multiply
    77,156.82x = 115,672.94 × 70,929.00
  4. Step 4: Simplify right side
    77,156.82x = 8,204,565,382.90
  5. Step 5: Solve for x
    x = 8,204,565,382.90/77,156.82
  6. Step 6: Final answer
    x = 106,336.24

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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.