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Finding the Fourth Proportional to 201,858.12, 302,842.26 and 59,710.41

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Solution

The fourth proportional to 201,858.12, 302,842.26 and 59,710.41 is: 89,581.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,858.12 : 302,842.26 = 59,710.41 : x
  2. Step 2: Convert to fraction form
    201,858.12/302,842.26 = 59,710.41/x
  3. Step 3: Cross multiply
    201,858.12x = 302,842.26 × 59,710.41
  4. Step 4: Simplify right side
    201,858.12x = 18,082,835,509.93
  5. Step 5: Solve for x
    x = 18,082,835,509.93/201,858.12
  6. Step 6: Final answer
    x = 89,581.91

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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.