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Finding the Fourth Proportional to 229,028.96, 343,192.98 and 122,427.98

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Solution

The fourth proportional to 229,028.96, 343,192.98 and 122,427.98 is: 183,454.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,028.96 : 343,192.98 = 122,427.98 : x
  2. Step 2: Convert to fraction form
    229,028.96/343,192.98 = 122,427.98/x
  3. Step 3: Cross multiply
    229,028.96x = 343,192.98 × 122,427.98
  4. Step 4: Simplify right side
    229,028.96x = 42,016,423,291.58
  5. Step 5: Solve for x
    x = 42,016,423,291.58/229,028.96
  6. Step 6: Final answer
    x = 183,454.63

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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.