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Finding the Fourth Proportional to 212,454.64, 293,215.44 and 137,221.84

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Solution

The fourth proportional to 212,454.64, 293,215.44 and 137,221.84 is: 189,384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,454.64 : 293,215.44 = 137,221.84 : x
  2. Step 2: Convert to fraction form
    212,454.64/293,215.44 = 137,221.84/x
  3. Step 3: Cross multiply
    212,454.64x = 293,215.44 × 137,221.84
  4. Step 4: Simplify right side
    212,454.64x = 40,235,562,193.21
  5. Step 5: Solve for x
    x = 40,235,562,193.21/212,454.64
  6. Step 6: Final answer
    x = 189,384.25

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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.