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Finding the Fourth Proportional to 106,264, 146,644.32 and 59,160

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Solution

The fourth proportional to 106,264, 146,644.32 and 59,160 is: 81,640.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,264 : 146,644.32 = 59,160 : x
  2. Step 2: Convert to fraction form
    106,264/146,644.32 = 59,160/x
  3. Step 3: Cross multiply
    106,264x = 146,644.32 × 59,160
  4. Step 4: Simplify right side
    106,264x = 8,675,477,971.20
  5. Step 5: Solve for x
    x = 8,675,477,971.20/106,264
  6. Step 6: Final answer
    x = 81,640.80

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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.