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Finding the Fourth Proportional to 201,616.83, 302,424.83 and 59,561.86

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Solution

The fourth proportional to 201,616.83, 302,424.83 and 59,561.86 is: 89,342.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,616.83 : 302,424.83 = 59,561.86 : x
  2. Step 2: Convert to fraction form
    201,616.83/302,424.83 = 59,561.86/x
  3. Step 3: Cross multiply
    201,616.83x = 302,424.83 × 59,561.86
  4. Step 4: Simplify right side
    201,616.83x = 18,012,985,384.98
  5. Step 5: Solve for x
    x = 18,012,985,384.98/201,616.83
  6. Step 6: Final answer
    x = 89,342.67

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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.