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Finding the Fourth Proportional to 154,050, 231,113.94 and 43,242

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Solution

The fourth proportional to 154,050, 231,113.94 and 43,242 is: 64,873.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,050 : 231,113.94 = 43,242 : x
  2. Step 2: Convert to fraction form
    154,050/231,113.94 = 43,242/x
  3. Step 3: Cross multiply
    154,050x = 231,113.94 × 43,242
  4. Step 4: Simplify right side
    154,050x = 9,993,828,993.48
  5. Step 5: Solve for x
    x = 9,993,828,993.48/154,050
  6. Step 6: Final answer
    x = 64,873.93

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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.