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Finding the Fourth Proportional to 230,964.32, 346,442.84 and 191,437.94

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Solution

The fourth proportional to 230,964.32, 346,442.84 and 191,437.94 is: 287,153.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,964.32 : 346,442.84 = 191,437.94 : x
  2. Step 2: Convert to fraction form
    230,964.32/346,442.84 = 191,437.94/x
  3. Step 3: Cross multiply
    230,964.32x = 346,442.84 × 191,437.94
  4. Step 4: Simplify right side
    230,964.32x = 66,322,303,617.35
  5. Step 5: Solve for x
    x = 66,322,303,617.35/230,964.32
  6. Step 6: Final answer
    x = 287,153.89

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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.