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Finding the Fourth Proportional to 229,090.41, 343,684.89 and 69,152.94

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Solution

The fourth proportional to 229,090.41, 343,684.89 and 69,152.94 is: 103,744.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,090.41 : 343,684.89 = 69,152.94 : x
  2. Step 2: Convert to fraction form
    229,090.41/343,684.89 = 69,152.94/x
  3. Step 3: Cross multiply
    229,090.41x = 343,684.89 × 69,152.94
  4. Step 4: Simplify right side
    229,090.41x = 23,766,820,577.08
  5. Step 5: Solve for x
    x = 23,766,820,577.08/229,090.41
  6. Step 6: Final answer
    x = 103,744.28

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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.