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Finding the Fourth Proportional to 146,241, 219,362.64 and 35,433

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Solution

The fourth proportional to 146,241, 219,362.64 and 35,433 is: 53,149.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,241 : 219,362.64 = 35,433 : x
  2. Step 2: Convert to fraction form
    146,241/219,362.64 = 35,433/x
  3. Step 3: Cross multiply
    146,241x = 219,362.64 × 35,433
  4. Step 4: Simplify right side
    146,241x = 7,772,676,423.12
  5. Step 5: Solve for x
    x = 7,772,676,423.12/146,241
  6. Step 6: Final answer
    x = 53,149.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.