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Finding the Fourth Proportional to 196,128.51, 294,192.76 and 137,079.51

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Solution

The fourth proportional to 196,128.51, 294,192.76 and 137,079.51 is: 205,619.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,128.51 : 294,192.76 = 137,079.51 : x
  2. Step 2: Convert to fraction form
    196,128.51/294,192.76 = 137,079.51/x
  3. Step 3: Cross multiply
    196,128.51x = 294,192.76 × 137,079.51
  4. Step 4: Simplify right side
    196,128.51x = 40,327,797,915.38
  5. Step 5: Solve for x
    x = 40,327,797,915.38/196,128.51
  6. Step 6: Final answer
    x = 205,619.26

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1.5x scale

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.