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Finding the Fourth Proportional to 156,735.30, 216,294.03 and 85,114.74

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Solution

The fourth proportional to 156,735.30, 216,294.03 and 85,114.74 is: 117,457.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,735.30 : 216,294.03 = 85,114.74 : x
  2. Step 2: Convert to fraction form
    156,735.30/216,294.03 = 85,114.74/x
  3. Step 3: Cross multiply
    156,735.30x = 216,294.03 × 85,114.74
  4. Step 4: Simplify right side
    156,735.30x = 18,409,810,127.00
  5. Step 5: Solve for x
    x = 18,409,810,127.00/156,735.30
  6. Step 6: Final answer
    x = 117,457.97

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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.