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Finding the Fourth Proportional to 230,078.32, 344,658 and 182,773.50

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Solution

The fourth proportional to 230,078.32, 344,658 and 182,773.50 is: 273,795.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,078.32 : 344,658 = 182,773.50 : x
  2. Step 2: Convert to fraction form
    230,078.32/344,658 = 182,773.50/x
  3. Step 3: Cross multiply
    230,078.32x = 344,658 × 182,773.50
  4. Step 4: Simplify right side
    230,078.32x = 62,994,348,963
  5. Step 5: Solve for x
    x = 62,994,348,963/230,078.32
  6. Step 6: Final answer
    x = 273,795.24

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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.