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Finding the Fourth Proportional to 102,146.37, 140,966.54 and 85,122.12

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Solution

The fourth proportional to 102,146.37, 140,966.54 and 85,122.12 is: 117,472.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,146.37 : 140,966.54 = 85,122.12 : x
  2. Step 2: Convert to fraction form
    102,146.37/140,966.54 = 85,122.12/x
  3. Step 3: Cross multiply
    102,146.37x = 140,966.54 × 85,122.12
  4. Step 4: Simplify right side
    102,146.37x = 11,999,370,733.86
  5. Step 5: Solve for x
    x = 11,999,370,733.86/102,146.37
  6. Step 6: Final answer
    x = 117,472.32

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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.