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Finding the Fourth Proportional to 206,985.03, 310,477.57 and 64,841.38

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Solution

The fourth proportional to 206,985.03, 310,477.57 and 64,841.38 is: 97,262.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,985.03 : 310,477.57 = 64,841.38 : x
  2. Step 2: Convert to fraction form
    206,985.03/310,477.57 = 64,841.38/x
  3. Step 3: Cross multiply
    206,985.03x = 310,477.57 × 64,841.38
  4. Step 4: Simplify right side
    206,985.03x = 20,131,794,097.85
  5. Step 5: Solve for x
    x = 20,131,794,097.85/206,985.03
  6. Step 6: Final answer
    x = 97,262.08

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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.