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Finding the Fourth Proportional to 119,223.98, 178,863.63 and 34,980.74

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Solution

The fourth proportional to 119,223.98, 178,863.63 and 34,980.74 is: 52,479.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,223.98 : 178,863.63 = 34,980.74 : x
  2. Step 2: Convert to fraction form
    119,223.98/178,863.63 = 34,980.74/x
  3. Step 3: Cross multiply
    119,223.98x = 178,863.63 × 34,980.74
  4. Step 4: Simplify right side
    119,223.98x = 6,256,782,136.49
  5. Step 5: Solve for x
    x = 6,256,782,136.49/119,223.98
  6. Step 6: Final answer
    x = 52,479.23

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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.