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Finding the Fourth Proportional to 154,059.66, 230,936.40 and 107,214.12

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Solution

The fourth proportional to 154,059.66, 230,936.40 and 107,214.12 is: 160,714.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,059.66 : 230,936.40 = 107,214.12 : x
  2. Step 2: Convert to fraction form
    154,059.66/230,936.40 = 107,214.12/x
  3. Step 3: Cross multiply
    154,059.66x = 230,936.40 × 107,214.12
  4. Step 4: Simplify right side
    154,059.66x = 24,759,642,901.97
  5. Step 5: Solve for x
    x = 24,759,642,901.97/154,059.66
  6. Step 6: Final answer
    x = 160,714.64

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1.5x scale

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.