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Finding the Fourth Proportional to 119,005.50, 178,508.91 and 30,259.07

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Solution

The fourth proportional to 119,005.50, 178,508.91 and 30,259.07 is: 45,388.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,005.50 : 178,508.91 = 30,259.07 : x
  2. Step 2: Convert to fraction form
    119,005.50/178,508.91 = 30,259.07/x
  3. Step 3: Cross multiply
    119,005.50x = 178,508.91 × 30,259.07
  4. Step 4: Simplify right side
    119,005.50x = 5,401,513,493.65
  5. Step 5: Solve for x
    x = 5,401,513,493.65/119,005.50
  6. Step 6: Final answer
    x = 45,388.77

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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.