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Finding the Fourth Proportional to 146,307, 219,460.61 and 35,499

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Solution

The fourth proportional to 146,307, 219,460.61 and 35,499 is: 53,248.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,307 : 219,460.61 = 35,499 : x
  2. Step 2: Convert to fraction form
    146,307/219,460.61 = 35,499/x
  3. Step 3: Cross multiply
    146,307x = 219,460.61 × 35,499
  4. Step 4: Simplify right side
    146,307x = 7,790,632,016.90
  5. Step 5: Solve for x
    x = 7,790,632,016.90/146,307
  6. Step 6: Final answer
    x = 53,248.53

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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.