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Finding the Fourth Proportional to 154,993.41, 232,495.80 and 42,682.32

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Solution

The fourth proportional to 154,993.41, 232,495.80 and 42,682.32 is: 64,025.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,993.41 : 232,495.80 = 42,682.32 : x
  2. Step 2: Convert to fraction form
    154,993.41/232,495.80 = 42,682.32/x
  3. Step 3: Cross multiply
    154,993.41x = 232,495.80 × 42,682.32
  4. Step 4: Simplify right side
    154,993.41x = 9,923,460,134.26
  5. Step 5: Solve for x
    x = 9,923,460,134.26/154,993.41
  6. Step 6: Final answer
    x = 64,025.05

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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.