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Finding the Fourth Proportional to 156,985.09, 216,643.53 and 85,369.30

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Solution

The fourth proportional to 156,985.09, 216,643.53 and 85,369.30 is: 117,811.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,985.09 : 216,643.53 = 85,369.30 : x
  2. Step 2: Convert to fraction form
    156,985.09/216,643.53 = 85,369.30/x
  3. Step 3: Cross multiply
    156,985.09x = 216,643.53 × 85,369.30
  4. Step 4: Simplify right side
    156,985.09x = 18,494,706,505.63
  5. Step 5: Solve for x
    x = 18,494,706,505.63/156,985.09
  6. Step 6: Final answer
    x = 117,811.87

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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.