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Finding the Fourth Proportional to 100,208.90, 138,221.70 and 64,444.16

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Solution

The fourth proportional to 100,208.90, 138,221.70 and 64,444.16 is: 88,890.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,208.90 : 138,221.70 = 64,444.16 : x
  2. Step 2: Convert to fraction form
    100,208.90/138,221.70 = 64,444.16/x
  3. Step 3: Cross multiply
    100,208.90x = 138,221.70 × 64,444.16
  4. Step 4: Simplify right side
    100,208.90x = 8,907,581,350.27
  5. Step 5: Solve for x
    x = 8,907,581,350.27/100,208.90
  6. Step 6: Final answer
    x = 88,890.12

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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.