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Finding the Fourth Proportional to 102,398.16, 141,280.02 and 66,640.80

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Solution

The fourth proportional to 102,398.16, 141,280.02 and 66,640.80 is: 91,945.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,398.16 : 141,280.02 = 66,640.80 : x
  2. Step 2: Convert to fraction form
    102,398.16/141,280.02 = 66,640.80/x
  3. Step 3: Cross multiply
    102,398.16x = 141,280.02 × 66,640.80
  4. Step 4: Simplify right side
    102,398.16x = 9,415,013,556.82
  5. Step 5: Solve for x
    x = 9,415,013,556.82/102,398.16
  6. Step 6: Final answer
    x = 91,945.14

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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.