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Finding the Fourth Proportional to 212,136.62, 292,749.63 and 116,649.50

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Solution

The fourth proportional to 212,136.62, 292,749.63 and 116,649.50 is: 160,976.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,136.62 : 292,749.63 = 116,649.50 : x
  2. Step 2: Convert to fraction form
    212,136.62/292,749.63 = 116,649.50/x
  3. Step 3: Cross multiply
    212,136.62x = 292,749.63 × 116,649.50
  4. Step 4: Simplify right side
    212,136.62x = 34,149,097,964.69
  5. Step 5: Solve for x
    x = 34,149,097,964.69/212,136.62
  6. Step 6: Final answer
    x = 160,976.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.