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Finding the Fourth Proportional to 201,941.86, 302,967.32 and 61,696.66

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Solution

The fourth proportional to 201,941.86, 302,967.32 and 61,696.66 is: 92,561.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,941.86 : 302,967.32 = 61,696.66 : x
  2. Step 2: Convert to fraction form
    201,941.86/302,967.32 = 61,696.66/x
  3. Step 3: Cross multiply
    201,941.86x = 302,967.32 × 61,696.66
  4. Step 4: Simplify right side
    201,941.86x = 18,692,071,733.15
  5. Step 5: Solve for x
    x = 18,692,071,733.15/201,941.86
  6. Step 6: Final answer
    x = 92,561.65

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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.