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Finding the Fourth Proportional to 143,752.44, 214,617.90 and 109,840.98

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Solution

The fourth proportional to 143,752.44, 214,617.90 and 109,840.98 is: 163,989.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,752.44 : 214,617.90 = 109,840.98 : x
  2. Step 2: Convert to fraction form
    143,752.44/214,617.90 = 109,840.98/x
  3. Step 3: Cross multiply
    143,752.44x = 214,617.90 × 109,840.98
  4. Step 4: Simplify right side
    143,752.44x = 23,573,840,461.54
  5. Step 5: Solve for x
    x = 23,573,840,461.54/143,752.44
  6. Step 6: Final answer
    x = 163,989.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.