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Finding the Fourth Proportional to 152,654.26, 210,419.46 and 120,336.18

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Solution

The fourth proportional to 152,654.26, 210,419.46 and 120,336.18 is: 165,872.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,654.26 : 210,419.46 = 120,336.18 : x
  2. Step 2: Convert to fraction form
    152,654.26/210,419.46 = 120,336.18/x
  3. Step 3: Cross multiply
    152,654.26x = 210,419.46 × 120,336.18
  4. Step 4: Simplify right side
    152,654.26x = 25,321,074,014.06
  5. Step 5: Solve for x
    x = 25,321,074,014.06/152,654.26
  6. Step 6: Final answer
    x = 165,872.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.