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Finding the Fourth Proportional to 201,681.06, 302,566.95 and 61,453.86

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Solution

The fourth proportional to 201,681.06, 302,566.95 and 61,453.86 is: 92,194.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,681.06 : 302,566.95 = 61,453.86 : x
  2. Step 2: Convert to fraction form
    201,681.06/302,566.95 = 61,453.86/x
  3. Step 3: Cross multiply
    201,681.06x = 302,566.95 × 61,453.86
  4. Step 4: Simplify right side
    201,681.06x = 18,593,906,985.93
  5. Step 5: Solve for x
    x = 18,593,906,985.93/201,681.06
  6. Step 6: Final answer
    x = 92,194.61

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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.