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Finding the Fourth Proportional to 125,968, 173,633.24 and 85,119.40

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Solution

The fourth proportional to 125,968, 173,633.24 and 85,119.40 is: 117,327.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,968 : 173,633.24 = 85,119.40 : x
  2. Step 2: Convert to fraction form
    125,968/173,633.24 = 85,119.40/x
  3. Step 3: Cross multiply
    125,968x = 173,633.24 × 85,119.40
  4. Step 4: Simplify right side
    125,968x = 14,779,557,208.86
  5. Step 5: Solve for x
    x = 14,779,557,208.86/125,968
  6. Step 6: Final answer
    x = 117,327.87

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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.