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Finding the Fourth Proportional to 78,210.20, 107,930.22 and 42,400.10

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Solution

The fourth proportional to 78,210.20, 107,930.22 and 42,400.10 is: 58,512.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,210.20 : 107,930.22 = 42,400.10 : x
  2. Step 2: Convert to fraction form
    78,210.20/107,930.22 = 42,400.10/x
  3. Step 3: Cross multiply
    78,210.20x = 107,930.22 × 42,400.10
  4. Step 4: Simplify right side
    78,210.20x = 4,576,252,121.02
  5. Step 5: Solve for x
    x = 4,576,252,121.02/78,210.20
  6. Step 6: Final answer
    x = 58,512.22

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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.