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Finding the Fourth Proportional to 227,228.32, 313,742 and 146,702.88

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Solution

The fourth proportional to 227,228.32, 313,742 and 146,702.88 is: 202,557.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,228.32 : 313,742 = 146,702.88 : x
  2. Step 2: Convert to fraction form
    227,228.32/313,742 = 146,702.88/x
  3. Step 3: Cross multiply
    227,228.32x = 313,742 × 146,702.88
  4. Step 4: Simplify right side
    227,228.32x = 46,026,854,976.96
  5. Step 5: Solve for x
    x = 46,026,854,976.96/227,228.32
  6. Step 6: Final answer
    x = 202,557.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.