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Finding the Fourth Proportional to 113,214.12, 156,223.08 and 65,460.24

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Solution

The fourth proportional to 113,214.12, 156,223.08 and 65,460.24 is: 90,327.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,214.12 : 156,223.08 = 65,460.24 : x
  2. Step 2: Convert to fraction form
    113,214.12/156,223.08 = 65,460.24/x
  3. Step 3: Cross multiply
    113,214.12x = 156,223.08 × 65,460.24
  4. Step 4: Simplify right side
    113,214.12x = 10,226,400,310.34
  5. Step 5: Solve for x
    x = 10,226,400,310.34/113,214.12
  6. Step 6: Final answer
    x = 90,327.96

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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.