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Finding the Fourth Proportional to 270,561.60, 405,842.40 and 146,145.60

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Solution

The fourth proportional to 270,561.60, 405,842.40 and 146,145.60 is: 219,218.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,561.60 : 405,842.40 = 146,145.60 : x
  2. Step 2: Convert to fraction form
    270,561.60/405,842.40 = 146,145.60/x
  3. Step 3: Cross multiply
    270,561.60x = 405,842.40 × 146,145.60
  4. Step 4: Simplify right side
    270,561.60x = 59,312,081,053.44
  5. Step 5: Solve for x
    x = 59,312,081,053.44/270,561.60
  6. Step 6: Final answer
    x = 219,218.40

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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.