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Finding the Fourth Proportional to 101,656, 140,285.32 and 56,944

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Solution

The fourth proportional to 101,656, 140,285.32 and 56,944 is: 78,582.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,656 : 140,285.32 = 56,944 : x
  2. Step 2: Convert to fraction form
    101,656/140,285.32 = 56,944/x
  3. Step 3: Cross multiply
    101,656x = 140,285.32 × 56,944
  4. Step 4: Simplify right side
    101,656x = 7,988,407,262.08
  5. Step 5: Solve for x
    x = 7,988,407,262.08/101,656
  6. Step 6: Final answer
    x = 78,582.74

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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.