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Finding the Fourth Proportional to 102,035.70, 140,803.24 and 56,712.12

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Solution

The fourth proportional to 102,035.70, 140,803.24 and 56,712.12 is: 78,259.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,035.70 : 140,803.24 = 56,712.12 : x
  2. Step 2: Convert to fraction form
    102,035.70/140,803.24 = 56,712.12/x
  3. Step 3: Cross multiply
    102,035.70x = 140,803.24 × 56,712.12
  4. Step 4: Simplify right side
    102,035.70x = 7,985,250,708.34
  5. Step 5: Solve for x
    x = 7,985,250,708.34/102,035.70
  6. Step 6: Final answer
    x = 78,259.38

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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.