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Finding the Fourth Proportional to 154,830.30, 213,664.92 and 85,919.07

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Solution

The fourth proportional to 154,830.30, 213,664.92 and 85,919.07 is: 118,567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,830.30 : 213,664.92 = 85,919.07 : x
  2. Step 2: Convert to fraction form
    154,830.30/213,664.92 = 85,919.07/x
  3. Step 3: Cross multiply
    154,830.30x = 213,664.92 × 85,919.07
  4. Step 4: Simplify right side
    154,830.30x = 18,357,891,218.02
  5. Step 5: Solve for x
    x = 18,357,891,218.02/154,830.30
  6. Step 6: Final answer
    x = 118,567.82

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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.