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Finding the Fourth Proportional to 230,817.60, 346,226.40 and 188,827.20

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Solution

The fourth proportional to 230,817.60, 346,226.40 and 188,827.20 is: 283,240.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,817.60 : 346,226.40 = 188,827.20 : x
  2. Step 2: Convert to fraction form
    230,817.60/346,226.40 = 188,827.20/x
  3. Step 3: Cross multiply
    230,817.60x = 346,226.40 × 188,827.20
  4. Step 4: Simplify right side
    230,817.60x = 65,376,961,678.08
  5. Step 5: Solve for x
    x = 65,376,961,678.08/230,817.60
  6. Step 6: Final answer
    x = 283,240.80

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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.