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Finding the Fourth Proportional to 196,079.76, 294,119.63 and 137,030.76

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Solution

The fourth proportional to 196,079.76, 294,119.63 and 137,030.76 is: 205,546.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,079.76 : 294,119.63 = 137,030.76 : x
  2. Step 2: Convert to fraction form
    196,079.76/294,119.63 = 137,030.76/x
  3. Step 3: Cross multiply
    196,079.76x = 294,119.63 × 137,030.76
  4. Step 4: Simplify right side
    196,079.76x = 40,303,435,744.67
  5. Step 5: Solve for x
    x = 40,303,435,744.67/196,079.76
  6. Step 6: Final answer
    x = 205,546.13

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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.