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Finding the Fourth Proportional to 270,646.16, 405,701.50 and 128,241.28

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Solution

The fourth proportional to 270,646.16, 405,701.50 and 128,241.28 is: 192,235.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,646.16 : 405,701.50 = 128,241.28 : x
  2. Step 2: Convert to fraction form
    270,646.16/405,701.50 = 128,241.28/x
  3. Step 3: Cross multiply
    270,646.16x = 405,701.50 × 128,241.28
  4. Step 4: Simplify right side
    270,646.16x = 52,027,679,657.92
  5. Step 5: Solve for x
    x = 52,027,679,657.92/270,646.16
  6. Step 6: Final answer
    x = 192,235.06

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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.