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Finding the Fourth Proportional to 78,145.30, 107,840.37 and 42,336.21

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Solution

The fourth proportional to 78,145.30, 107,840.37 and 42,336.21 is: 58,423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,145.30 : 107,840.37 = 42,336.21 : x
  2. Step 2: Convert to fraction form
    78,145.30/107,840.37 = 42,336.21/x
  3. Step 3: Cross multiply
    78,145.30x = 107,840.37 × 42,336.21
  4. Step 4: Simplify right side
    78,145.30x = 4,565,552,550.80
  5. Step 5: Solve for x
    x = 4,565,552,550.80/78,145.30
  6. Step 6: Final answer
    x = 58,423.89

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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.