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Finding the Fourth Proportional to 196,750.60, 294,681.86 and 137,849.16

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Solution

The fourth proportional to 196,750.60, 294,681.86 and 137,849.16 is: 206,462.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,750.60 : 294,681.86 = 137,849.16 : x
  2. Step 2: Convert to fraction form
    196,750.60/294,681.86 = 137,849.16/x
  3. Step 3: Cross multiply
    196,750.60x = 294,681.86 × 137,849.16
  4. Step 4: Simplify right side
    196,750.60x = 40,621,646,868.24
  5. Step 5: Solve for x
    x = 40,621,646,868.24/196,750.60
  6. Step 6: Final answer
    x = 206,462.63

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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.