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Finding the Fourth Proportional to 201,319.65, 301,758.05 and 82,926.41

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Solution

The fourth proportional to 201,319.65, 301,758.05 and 82,926.41 is: 124,298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,319.65 : 301,758.05 = 82,926.41 : x
  2. Step 2: Convert to fraction form
    201,319.65/301,758.05 = 82,926.41/x
  3. Step 3: Cross multiply
    201,319.65x = 301,758.05 × 82,926.41
  4. Step 4: Simplify right side
    201,319.65x = 25,023,710,473.63
  5. Step 5: Solve for x
    x = 25,023,710,473.63/201,319.65
  6. Step 6: Final answer
    x = 124,298.40

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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.