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Finding the Fourth Proportional to 78,015.83, 107,661.83 and 42,205.86

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Solution

The fourth proportional to 78,015.83, 107,661.83 and 42,205.86 is: 58,244.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,015.83 : 107,661.83 = 42,205.86 : x
  2. Step 2: Convert to fraction form
    78,015.83/107,661.83 = 42,205.86/x
  3. Step 3: Cross multiply
    78,015.83x = 107,661.83 × 42,205.86
  4. Step 4: Simplify right side
    78,015.83x = 4,543,959,913.29
  5. Step 5: Solve for x
    x = 4,543,959,913.29/78,015.83
  6. Step 6: Final answer
    x = 58,244.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.