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Finding the Fourth Proportional to 230,962.60, 346,443.90 and 131,429.80

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Solution

The fourth proportional to 230,962.60, 346,443.90 and 131,429.80 is: 197,144.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,962.60 : 346,443.90 = 131,429.80 : x
  2. Step 2: Convert to fraction form
    230,962.60/346,443.90 = 131,429.80/x
  3. Step 3: Cross multiply
    230,962.60x = 346,443.90 × 131,429.80
  4. Step 4: Simplify right side
    230,962.60x = 45,533,052,488.22
  5. Step 5: Solve for x
    x = 45,533,052,488.22/230,962.60
  6. Step 6: Final answer
    x = 197,144.70

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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.