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Finding the Fourth Proportional to 78,202.96, 107,918.76 and 44,210.92

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Solution

The fourth proportional to 78,202.96, 107,918.76 and 44,210.92 is: 61,010.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,202.96 : 107,918.76 = 44,210.92 : x
  2. Step 2: Convert to fraction form
    78,202.96/107,918.76 = 44,210.92/x
  3. Step 3: Cross multiply
    78,202.96x = 107,918.76 × 44,210.92
  4. Step 4: Simplify right side
    78,202.96x = 4,771,187,664.86
  5. Step 5: Solve for x
    x = 4,771,187,664.86/78,202.96
  6. Step 6: Final answer
    x = 61,010.32

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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.