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Finding the Fourth Proportional to 159,203.40, 219,702.52 and 91,219

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Solution

The fourth proportional to 159,203.40, 219,702.52 and 91,219 is: 125,883.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,203.40 : 219,702.52 = 91,219 : x
  2. Step 2: Convert to fraction form
    159,203.40/219,702.52 = 91,219/x
  3. Step 3: Cross multiply
    159,203.40x = 219,702.52 × 91,219
  4. Step 4: Simplify right side
    159,203.40x = 20,041,044,171.88
  5. Step 5: Solve for x
    x = 20,041,044,171.88/159,203.40
  6. Step 6: Final answer
    x = 125,883.27

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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.