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Finding the Fourth Proportional to 219,142.42, 328,464.48 and 92,703.76

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Solution

The fourth proportional to 219,142.42, 328,464.48 and 92,703.76 is: 138,950.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,142.42 : 328,464.48 = 92,703.76 : x
  2. Step 2: Convert to fraction form
    219,142.42/328,464.48 = 92,703.76/x
  3. Step 3: Cross multiply
    219,142.42x = 328,464.48 × 92,703.76
  4. Step 4: Simplify right side
    219,142.42x = 30,449,892,322.44
  5. Step 5: Solve for x
    x = 30,449,892,322.44/219,142.42
  6. Step 6: Final answer
    x = 138,950.24

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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.