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Finding the Fourth Proportional to 146,404.34, 219,188.14 and 137,104.19

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Solution

The fourth proportional to 146,404.34, 219,188.14 and 137,104.19 is: 205,264.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,404.34 : 219,188.14 = 137,104.19 : x
  2. Step 2: Convert to fraction form
    146,404.34/219,188.14 = 137,104.19/x
  3. Step 3: Cross multiply
    146,404.34x = 219,188.14 × 137,104.19
  4. Step 4: Simplify right side
    146,404.34x = 30,051,610,953.61
  5. Step 5: Solve for x
    x = 30,051,610,953.61/146,404.34
  6. Step 6: Final answer
    x = 205,264.49

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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.