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Finding the Fourth Proportional to 100,202.37, 138,212.76 and 64,437.63

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Solution

The fourth proportional to 100,202.37, 138,212.76 and 64,437.63 is: 88,881.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,202.37 : 138,212.76 = 64,437.63 : x
  2. Step 2: Convert to fraction form
    100,202.37/138,212.76 = 64,437.63/x
  3. Step 3: Cross multiply
    100,202.37x = 138,212.76 × 64,437.63
  4. Step 4: Simplify right side
    100,202.37x = 8,906,102,413.50
  5. Step 5: Solve for x
    x = 8,906,102,413.50/100,202.37
  6. Step 6: Final answer
    x = 88,881.16

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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.