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Finding the Fourth Proportional to 205,633.62, 283,690.89 and 133,987.50

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Solution

The fourth proportional to 205,633.62, 283,690.89 and 133,987.50 is: 184,848.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,633.62 : 283,690.89 = 133,987.50 : x
  2. Step 2: Convert to fraction form
    205,633.62/283,690.89 = 133,987.50/x
  3. Step 3: Cross multiply
    205,633.62x = 283,690.89 × 133,987.50
  4. Step 4: Simplify right side
    205,633.62x = 38,011,033,123.88
  5. Step 5: Solve for x
    x = 38,011,033,123.88/205,633.62
  6. Step 6: Final answer
    x = 184,848.34

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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.