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Finding the Fourth Proportional to 201,646.56, 302,469.82 and 188,359.32

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Solution

The fourth proportional to 201,646.56, 302,469.82 and 188,359.32 is: 282,538.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,646.56 : 302,469.82 = 188,359.32 : x
  2. Step 2: Convert to fraction form
    201,646.56/302,469.82 = 188,359.32/x
  3. Step 3: Cross multiply
    201,646.56x = 302,469.82 × 188,359.32
  4. Step 4: Simplify right side
    201,646.56x = 56,973,009,615.72
  5. Step 5: Solve for x
    x = 56,973,009,615.72/201,646.56
  6. Step 6: Final answer
    x = 282,538.96

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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.