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Finding the Fourth Proportional to 104,970.47, 144,844.64 and 61,951.76

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Solution

The fourth proportional to 104,970.47, 144,844.64 and 61,951.76 is: 85,484.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,970.47 : 144,844.64 = 61,951.76 : x
  2. Step 2: Convert to fraction form
    104,970.47/144,844.64 = 61,951.76/x
  3. Step 3: Cross multiply
    104,970.47x = 144,844.64 × 61,951.76
  4. Step 4: Simplify right side
    104,970.47x = 8,973,380,891.56
  5. Step 5: Solve for x
    x = 8,973,380,891.56/104,970.47
  6. Step 6: Final answer
    x = 85,484.81

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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.