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Finding the Fourth Proportional to 156,705.23, 216,253.23 and 85,085.30

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Solution

The fourth proportional to 156,705.23, 216,253.23 and 85,085.30 is: 117,417.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,705.23 : 216,253.23 = 85,085.30 : x
  2. Step 2: Convert to fraction form
    156,705.23/216,253.23 = 85,085.30/x
  3. Step 3: Cross multiply
    156,705.23x = 216,253.23 × 85,085.30
  4. Step 4: Simplify right side
    156,705.23x = 18,399,970,950.52
  5. Step 5: Solve for x
    x = 18,399,970,950.52/156,705.23
  6. Step 6: Final answer
    x = 117,417.72

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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.