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Finding the Fourth Proportional to 102,292.67, 141,107.33 and 85,151.45

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Solution

The fourth proportional to 102,292.67, 141,107.33 and 85,151.45 is: 117,461.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,292.67 : 141,107.33 = 85,151.45 : x
  2. Step 2: Convert to fraction form
    102,292.67/141,107.33 = 85,151.45/x
  3. Step 3: Cross multiply
    102,292.67x = 141,107.33 × 85,151.45
  4. Step 4: Simplify right side
    102,292.67x = 12,015,494,320.78
  5. Step 5: Solve for x
    x = 12,015,494,320.78/102,292.67
  6. Step 6: Final answer
    x = 117,461.93

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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.