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Finding the Fourth Proportional to 188,666.80, 282,992.10 and 64,007.80

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Solution

The fourth proportional to 188,666.80, 282,992.10 and 64,007.80 is: 96,008.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,666.80 : 282,992.10 = 64,007.80 : x
  2. Step 2: Convert to fraction form
    188,666.80/282,992.10 = 64,007.80/x
  3. Step 3: Cross multiply
    188,666.80x = 282,992.10 × 64,007.80
  4. Step 4: Simplify right side
    188,666.80x = 18,113,701,738.38
  5. Step 5: Solve for x
    x = 18,113,701,738.38/188,666.80
  6. Step 6: Final answer
    x = 96,008.95

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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.