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Finding the Fourth Proportional to 154,808.16, 232,212.42 and 42,489.91

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Solution

The fourth proportional to 154,808.16, 232,212.42 and 42,489.91 is: 63,734.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,808.16 : 232,212.42 = 42,489.91 : x
  2. Step 2: Convert to fraction form
    154,808.16/232,212.42 = 42,489.91/x
  3. Step 3: Cross multiply
    154,808.16x = 232,212.42 × 42,489.91
  4. Step 4: Simplify right side
    154,808.16x = 9,866,684,826.68
  5. Step 5: Solve for x
    x = 9,866,684,826.68/154,808.16
  6. Step 6: Final answer
    x = 63,734.91

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Why These Related Problems?

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