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Finding the Fourth Proportional to 147,196.96, 219,663.42 and 146,354.96

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Solution

The fourth proportional to 147,196.96, 219,663.42 and 146,354.96 is: 218,406.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,196.96 : 219,663.42 = 146,354.96 : x
  2. Step 2: Convert to fraction form
    147,196.96/219,663.42 = 146,354.96/x
  3. Step 3: Cross multiply
    147,196.96x = 219,663.42 × 146,354.96
  4. Step 4: Simplify right side
    147,196.96x = 32,148,831,047.56
  5. Step 5: Solve for x
    x = 32,148,831,047.56/147,196.96
  6. Step 6: Final answer
    x = 218,406.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.