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Finding the Fourth Proportional to 146,924, 202,755.12 and 87,308

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Solution

The fourth proportional to 146,924, 202,755.12 and 87,308 is: 120,485.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,924 : 202,755.12 = 87,308 : x
  2. Step 2: Convert to fraction form
    146,924/202,755.12 = 87,308/x
  3. Step 3: Cross multiply
    146,924x = 202,755.12 × 87,308
  4. Step 4: Simplify right side
    146,924x = 17,702,144,016.96
  5. Step 5: Solve for x
    x = 17,702,144,016.96/146,924
  6. Step 6: Final answer
    x = 120,485.04

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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.