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Finding the Fourth Proportional to 201,840.93, 302,656.24 and 95,196.24

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Solution

The fourth proportional to 201,840.93, 302,656.24 and 95,196.24 is: 142,744.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,840.93 : 302,656.24 = 95,196.24 : x
  2. Step 2: Convert to fraction form
    201,840.93/302,656.24 = 95,196.24/x
  3. Step 3: Cross multiply
    201,840.93x = 302,656.24 × 95,196.24
  4. Step 4: Simplify right side
    201,840.93x = 28,811,736,060.54
  5. Step 5: Solve for x
    x = 28,811,736,060.54/201,840.93
  6. Step 6: Final answer
    x = 142,744.76

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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.