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Finding the Fourth Proportional to 227,954.89, 342,030.75 and 122,752.90

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Solution

The fourth proportional to 227,954.89, 342,030.75 and 122,752.90 is: 184,182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,954.89 : 342,030.75 = 122,752.90 : x
  2. Step 2: Convert to fraction form
    227,954.89/342,030.75 = 122,752.90/x
  3. Step 3: Cross multiply
    227,954.89x = 342,030.75 × 122,752.90
  4. Step 4: Simplify right side
    227,954.89x = 41,985,264,127.76
  5. Step 5: Solve for x
    x = 41,985,264,127.76/227,954.89
  6. Step 6: Final answer
    x = 184,182.34

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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.