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Finding the Fourth Proportional to 212,858.40, 293,590.20 and 144,754.32

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Solution

The fourth proportional to 212,858.40, 293,590.20 and 144,754.32 is: 199,655.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,858.40 : 293,590.20 = 144,754.32 : x
  2. Step 2: Convert to fraction form
    212,858.40/293,590.20 = 144,754.32/x
  3. Step 3: Cross multiply
    212,858.40x = 293,590.20 × 144,754.32
  4. Step 4: Simplify right side
    212,858.40x = 42,498,449,759.66
  5. Step 5: Solve for x
    x = 42,498,449,759.66/212,858.40
  6. Step 6: Final answer
    x = 199,655.97

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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.