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Finding the Fourth Proportional to 108,047.10, 161,742.60 and 96,237.30

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Solution

The fourth proportional to 108,047.10, 161,742.60 and 96,237.30 is: 144,063.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,047.10 : 161,742.60 = 96,237.30 : x
  2. Step 2: Convert to fraction form
    108,047.10/161,742.60 = 96,237.30/x
  3. Step 3: Cross multiply
    108,047.10x = 161,742.60 × 96,237.30
  4. Step 4: Simplify right side
    108,047.10x = 15,565,671,118.98
  5. Step 5: Solve for x
    x = 15,565,671,118.98/108,047.10
  6. Step 6: Final answer
    x = 144,063.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.