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Finding the Fourth Proportional to 203,251.52, 280,519.08 and 116,036.84

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Solution

The fourth proportional to 203,251.52, 280,519.08 and 116,036.84 is: 160,149.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,251.52 : 280,519.08 = 116,036.84 : x
  2. Step 2: Convert to fraction form
    203,251.52/280,519.08 = 116,036.84/x
  3. Step 3: Cross multiply
    203,251.52x = 280,519.08 × 116,036.84
  4. Step 4: Simplify right side
    203,251.52x = 32,550,547,602.91
  5. Step 5: Solve for x
    x = 32,550,547,602.91/203,251.52
  6. Step 6: Final answer
    x = 160,149.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.