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Finding the Fourth Proportional to 202,060.05, 302,696.42 and 122,978.13

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Solution

The fourth proportional to 202,060.05, 302,696.42 and 122,978.13 is: 184,227.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,060.05 : 302,696.42 = 122,978.13 : x
  2. Step 2: Convert to fraction form
    202,060.05/302,696.42 = 122,978.13/x
  3. Step 3: Cross multiply
    202,060.05x = 302,696.42 × 122,978.13
  4. Step 4: Simplify right side
    202,060.05x = 37,225,039,074.40
  5. Step 5: Solve for x
    x = 37,225,039,074.40/202,060.05
  6. Step 6: Final answer
    x = 184,227.60

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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.