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Finding the Fourth Proportional to 201,530.80, 302,952.30 and 142,773.40

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Solution

The fourth proportional to 201,530.80, 302,952.30 and 142,773.40 is: 214,624.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,530.80 : 302,952.30 = 142,773.40 : x
  2. Step 2: Convert to fraction form
    201,530.80/302,952.30 = 142,773.40/x
  3. Step 3: Cross multiply
    201,530.80x = 302,952.30 × 142,773.40
  4. Step 4: Simplify right side
    201,530.80x = 43,253,529,908.82
  5. Step 5: Solve for x
    x = 43,253,529,908.82/201,530.80
  6. Step 6: Final answer
    x = 214,624.91

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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.