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Finding the Fourth Proportional to 229,014.89, 343,172.02 and 122,414.01

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Solution

The fourth proportional to 229,014.89, 343,172.02 and 122,414.01 is: 183,433.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,014.89 : 343,172.02 = 122,414.01 : x
  2. Step 2: Convert to fraction form
    229,014.89/343,172.02 = 122,414.01/x
  3. Step 3: Cross multiply
    229,014.89x = 343,172.02 × 122,414.01
  4. Step 4: Simplify right side
    229,014.89x = 42,009,063,088.00
  5. Step 5: Solve for x
    x = 42,009,063,088.00/229,014.89
  6. Step 6: Final answer
    x = 183,433.76

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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.