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Finding the Fourth Proportional to 156,768.98, 216,342.78 and 85,150.40

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Solution

The fourth proportional to 156,768.98, 216,342.78 and 85,150.40 is: 117,508.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,768.98 : 216,342.78 = 85,150.40 : x
  2. Step 2: Convert to fraction form
    156,768.98/216,342.78 = 85,150.40/x
  3. Step 3: Cross multiply
    156,768.98x = 216,342.78 × 85,150.40
  4. Step 4: Simplify right side
    156,768.98x = 18,421,674,254.11
  5. Step 5: Solve for x
    x = 18,421,674,254.11/156,768.98
  6. Step 6: Final answer
    x = 117,508.41

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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.