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Finding the Fourth Proportional to 223,602.13, 335,403.20 and 153,268.21

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Solution

The fourth proportional to 223,602.13, 335,403.20 and 153,268.21 is: 229,902.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,602.13 : 335,403.20 = 153,268.21 : x
  2. Step 2: Convert to fraction form
    223,602.13/335,403.20 = 153,268.21/x
  3. Step 3: Cross multiply
    223,602.13x = 335,403.20 × 153,268.21
  4. Step 4: Simplify right side
    223,602.13x = 51,406,647,325.93
  5. Step 5: Solve for x
    x = 51,406,647,325.93/223,602.13
  6. Step 6: Final answer
    x = 229,902.32

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Why These Related Problems?

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