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Finding the Fourth Proportional to 154,756.44, 232,134.60 and 102,153.60

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Solution

The fourth proportional to 154,756.44, 232,134.60 and 102,153.60 is: 153,230.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,756.44 : 232,134.60 = 102,153.60 : x
  2. Step 2: Convert to fraction form
    154,756.44/232,134.60 = 102,153.60/x
  3. Step 3: Cross multiply
    154,756.44x = 232,134.60 × 102,153.60
  4. Step 4: Simplify right side
    154,756.44x = 23,713,385,074.56
  5. Step 5: Solve for x
    x = 23,713,385,074.56/154,756.44
  6. Step 6: Final answer
    x = 153,230.36

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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.