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Finding the Fourth Proportional to 196,080.76, 294,121.12 and 137,031.76

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Solution

The fourth proportional to 196,080.76, 294,121.12 and 137,031.76 is: 205,547.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,080.76 : 294,121.12 = 137,031.76 : x
  2. Step 2: Convert to fraction form
    196,080.76/294,121.12 = 137,031.76/x
  3. Step 3: Cross multiply
    196,080.76x = 294,121.12 × 137,031.76
  4. Step 4: Simplify right side
    196,080.76x = 40,303,934,726.77
  5. Step 5: Solve for x
    x = 40,303,934,726.77/196,080.76
  6. Step 6: Final answer
    x = 205,547.63

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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.