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Finding the Fourth Proportional to 205,473.60, 283,573.98 and 120,588.84

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Solution

The fourth proportional to 205,473.60, 283,573.98 and 120,588.84 is: 166,424.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,473.60 : 283,573.98 = 120,588.84 : x
  2. Step 2: Convert to fraction form
    205,473.60/283,573.98 = 120,588.84/x
  3. Step 3: Cross multiply
    205,473.60x = 283,573.98 × 120,588.84
  4. Step 4: Simplify right side
    205,473.60x = 34,195,857,302.38
  5. Step 5: Solve for x
    x = 34,195,857,302.38/205,473.60
  6. Step 6: Final answer
    x = 166,424.58

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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.