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Finding the Fourth Proportional to 206,830.14, 310,168.59 and 73,675.02

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Solution

The fourth proportional to 206,830.14, 310,168.59 and 73,675.02 is: 110,485.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,830.14 : 310,168.59 = 73,675.02 : x
  2. Step 2: Convert to fraction form
    206,830.14/310,168.59 = 73,675.02/x
  3. Step 3: Cross multiply
    206,830.14x = 310,168.59 × 73,675.02
  4. Step 4: Simplify right side
    206,830.14x = 22,851,677,071.62
  5. Step 5: Solve for x
    x = 22,851,677,071.62/206,830.14
  6. Step 6: Final answer
    x = 110,485.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.