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Finding the Fourth Proportional to 100,624.26, 138,874.65 and 64,918.14

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Solution

The fourth proportional to 100,624.26, 138,874.65 and 64,918.14 is: 89,595.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,624.26 : 138,874.65 = 64,918.14 : x
  2. Step 2: Convert to fraction form
    100,624.26/138,874.65 = 64,918.14/x
  3. Step 3: Cross multiply
    100,624.26x = 138,874.65 × 64,918.14
  4. Step 4: Simplify right side
    100,624.26x = 9,015,483,971.15
  5. Step 5: Solve for x
    x = 9,015,483,971.15/100,624.26
  6. Step 6: Final answer
    x = 89,595.53

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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.