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Finding the Fourth Proportional to 80,848.94, 110,763.56 and 77,818.72

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Solution

The fourth proportional to 80,848.94, 110,763.56 and 77,818.72 is: 106,612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,848.94 : 110,763.56 = 77,818.72 : x
  2. Step 2: Convert to fraction form
    80,848.94/110,763.56 = 77,818.72/x
  3. Step 3: Cross multiply
    80,848.94x = 110,763.56 × 77,818.72
  4. Step 4: Simplify right side
    80,848.94x = 8,619,478,461.84
  5. Step 5: Solve for x
    x = 8,619,478,461.84/80,848.94
  6. Step 6: Final answer
    x = 106,612.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.