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Finding the Fourth Proportional to 145,764.30, 218,743.65 and 66,837.90

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Solution

The fourth proportional to 145,764.30, 218,743.65 and 66,837.90 is: 100,301.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,764.30 : 218,743.65 = 66,837.90 : x
  2. Step 2: Convert to fraction form
    145,764.30/218,743.65 = 66,837.90/x
  3. Step 3: Cross multiply
    145,764.30x = 218,743.65 × 66,837.90
  4. Step 4: Simplify right side
    145,764.30x = 14,620,366,204.34
  5. Step 5: Solve for x
    x = 14,620,366,204.34/145,764.30
  6. Step 6: Final answer
    x = 100,301.42

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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.