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Finding the Fourth Proportional to 230,966.70, 346,255.65 and 120,158.70

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Solution

The fourth proportional to 230,966.70, 346,255.65 and 120,158.70 is: 180,136.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,966.70 : 346,255.65 = 120,158.70 : x
  2. Step 2: Convert to fraction form
    230,966.70/346,255.65 = 120,158.70/x
  3. Step 3: Cross multiply
    230,966.70x = 346,255.65 × 120,158.70
  4. Step 4: Simplify right side
    230,966.70x = 41,605,628,771.66
  5. Step 5: Solve for x
    x = 41,605,628,771.66/230,966.70
  6. Step 6: Final answer
    x = 180,136.91

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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.