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Finding the Fourth Proportional to 154,101.16, 211,843.12 and 132,511.84

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Solution

The fourth proportional to 154,101.16, 211,843.12 and 132,511.84 is: 182,164.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,101.16 : 211,843.12 = 132,511.84 : x
  2. Step 2: Convert to fraction form
    154,101.16/211,843.12 = 132,511.84/x
  3. Step 3: Cross multiply
    154,101.16x = 211,843.12 × 132,511.84
  4. Step 4: Simplify right side
    154,101.16x = 28,071,721,622.54
  5. Step 5: Solve for x
    x = 28,071,721,622.54/154,101.16
  6. Step 6: Final answer
    x = 182,164.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.