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Finding the Fourth Proportional to 115,446.90, 159,315.21 and 64,460.50

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Solution

The fourth proportional to 115,446.90, 159,315.21 and 64,460.50 is: 88,954.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,446.90 : 159,315.21 = 64,460.50 : x
  2. Step 2: Convert to fraction form
    115,446.90/159,315.21 = 64,460.50/x
  3. Step 3: Cross multiply
    115,446.90x = 159,315.21 × 64,460.50
  4. Step 4: Simplify right side
    115,446.90x = 10,269,538,094.21
  5. Step 5: Solve for x
    x = 10,269,538,094.21/115,446.90
  6. Step 6: Final answer
    x = 88,954.65

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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.