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Finding the Fourth Proportional to 103,435.36, 142,775.76 and 67,186.24

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Solution

The fourth proportional to 103,435.36, 142,775.76 and 67,186.24 is: 92,739.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,435.36 : 142,775.76 = 67,186.24 : x
  2. Step 2: Convert to fraction form
    103,435.36/142,775.76 = 67,186.24/x
  3. Step 3: Cross multiply
    103,435.36x = 142,775.76 × 67,186.24
  4. Step 4: Simplify right side
    103,435.36x = 9,592,566,477.54
  5. Step 5: Solve for x
    x = 9,592,566,477.54/103,435.36
  6. Step 6: Final answer
    x = 92,739.72

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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.