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Finding the Fourth Proportional to 146,009.16, 201,492.36 and 82,346.76

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Solution

The fourth proportional to 146,009.16, 201,492.36 and 82,346.76 is: 113,638.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,009.16 : 201,492.36 = 82,346.76 : x
  2. Step 2: Convert to fraction form
    146,009.16/201,492.36 = 82,346.76/x
  3. Step 3: Cross multiply
    146,009.16x = 201,492.36 × 82,346.76
  4. Step 4: Simplify right side
    146,009.16x = 16,592,243,010.75
  5. Step 5: Solve for x
    x = 16,592,243,010.75/146,009.16
  6. Step 6: Final answer
    x = 113,638.37

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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.