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Finding the Fourth Proportional to 154,851.45, 232,449.98 and 144,699.45

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Solution

The fourth proportional to 154,851.45, 232,449.98 and 144,699.45 is: 217,210.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,851.45 : 232,449.98 = 144,699.45 : x
  2. Step 2: Convert to fraction form
    154,851.45/232,449.98 = 144,699.45/x
  3. Step 3: Cross multiply
    154,851.45x = 232,449.98 × 144,699.45
  4. Step 4: Simplify right side
    154,851.45x = 33,635,383,535.01
  5. Step 5: Solve for x
    x = 33,635,383,535.01/154,851.45
  6. Step 6: Final answer
    x = 217,210.65

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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.