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Finding the Fourth Proportional to 229,055.51, 343,605.12 and 71,241.59

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Solution

The fourth proportional to 229,055.51, 343,605.12 and 71,241.59 is: 106,869.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,055.51 : 343,605.12 = 71,241.59 : x
  2. Step 2: Convert to fraction form
    229,055.51/343,605.12 = 71,241.59/x
  3. Step 3: Cross multiply
    229,055.51x = 343,605.12 × 71,241.59
  4. Step 4: Simplify right side
    229,055.51x = 24,478,973,362.92
  5. Step 5: Solve for x
    x = 24,478,973,362.92/229,055.51
  6. Step 6: Final answer
    x = 106,869.18

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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.