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Finding the Fourth Proportional to 196,865.80, 295,298.70 and 186,497.80

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Solution

The fourth proportional to 196,865.80, 295,298.70 and 186,497.80 is: 279,746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,865.80 : 295,298.70 = 186,497.80 : x
  2. Step 2: Convert to fraction form
    196,865.80/295,298.70 = 186,497.80/x
  3. Step 3: Cross multiply
    196,865.80x = 295,298.70 × 186,497.80
  4. Step 4: Simplify right side
    196,865.80x = 55,072,557,892.86
  5. Step 5: Solve for x
    x = 55,072,557,892.86/196,865.80
  6. Step 6: Final answer
    x = 279,746.70

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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.