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Finding the Fourth Proportional to 102,019.77, 140,784.48 and 56,696.63

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Solution

The fourth proportional to 102,019.77, 140,784.48 and 56,696.63 is: 78,239.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,019.77 : 140,784.48 = 56,696.63 : x
  2. Step 2: Convert to fraction form
    102,019.77/140,784.48 = 56,696.63/x
  3. Step 3: Cross multiply
    102,019.77x = 140,784.48 × 56,696.63
  4. Step 4: Simplify right side
    102,019.77x = 7,982,004,868.38
  5. Step 5: Solve for x
    x = 7,982,004,868.38/102,019.77
  6. Step 6: Final answer
    x = 78,239.78

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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.