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Finding the Fourth Proportional to 281,495.80, 422,156.39 and 101,557.84

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Solution

The fourth proportional to 281,495.80, 422,156.39 and 101,557.84 is: 152,305.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,495.80 : 422,156.39 = 101,557.84 : x
  2. Step 2: Convert to fraction form
    281,495.80/422,156.39 = 101,557.84/x
  3. Step 3: Cross multiply
    281,495.80x = 422,156.39 × 101,557.84
  4. Step 4: Simplify right side
    281,495.80x = 42,873,291,110.60
  5. Step 5: Solve for x
    x = 42,873,291,110.60/281,495.80
  6. Step 6: Final answer
    x = 152,305.26

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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.