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Finding the Fourth Proportional to 119,231.40, 178,782.30 and 49,117.80

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Solution

The fourth proportional to 119,231.40, 178,782.30 and 49,117.80 is: 73,650.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,231.40 : 178,782.30 = 49,117.80 : x
  2. Step 2: Convert to fraction form
    119,231.40/178,782.30 = 49,117.80/x
  3. Step 3: Cross multiply
    119,231.40x = 178,782.30 × 49,117.80
  4. Step 4: Simplify right side
    119,231.40x = 8,781,393,254.94
  5. Step 5: Solve for x
    x = 8,781,393,254.94/119,231.40
  6. Step 6: Final answer
    x = 73,650.01

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Why These Related Problems?

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