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Finding the Fourth Proportional to 156,807.90, 216,395.18 and 85,188

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Solution

The fourth proportional to 156,807.90, 216,395.18 and 85,188 is: 117,559.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,807.90 : 216,395.18 = 85,188 : x
  2. Step 2: Convert to fraction form
    156,807.90/216,395.18 = 85,188/x
  3. Step 3: Cross multiply
    156,807.90x = 216,395.18 × 85,188
  4. Step 4: Simplify right side
    156,807.90x = 18,434,272,167.90
  5. Step 5: Solve for x
    x = 18,434,272,167.90/156,807.90
  6. Step 6: Final answer
    x = 117,559.59

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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.