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Finding the Fourth Proportional to 208,207.68, 312,261.60 and 58,454.40

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Solution

The fourth proportional to 208,207.68, 312,261.60 and 58,454.40 is: 87,667.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,207.68 : 312,261.60 = 58,454.40 : x
  2. Step 2: Convert to fraction form
    208,207.68/312,261.60 = 58,454.40/x
  3. Step 3: Cross multiply
    208,207.68x = 312,261.60 × 58,454.40
  4. Step 4: Simplify right side
    208,207.68x = 18,253,064,471.04
  5. Step 5: Solve for x
    x = 18,253,064,471.04/208,207.68
  6. Step 6: Final answer
    x = 87,667.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.