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Finding the Fourth Proportional to 164,116.98, 245,475.63 and 100,781.46

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Solution

The fourth proportional to 164,116.98, 245,475.63 and 100,781.46 is: 150,742.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,116.98 : 245,475.63 = 100,781.46 : x
  2. Step 2: Convert to fraction form
    164,116.98/245,475.63 = 100,781.46/x
  3. Step 3: Cross multiply
    164,116.98x = 245,475.63 × 100,781.46
  4. Step 4: Simplify right side
    164,116.98x = 24,739,392,385.82
  5. Step 5: Solve for x
    x = 24,739,392,385.82/164,116.98
  6. Step 6: Final answer
    x = 150,742.43

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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.