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Finding the Fourth Proportional to 122,911.79, 184,368.88 and 34,172.22

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Solution

The fourth proportional to 122,911.79, 184,368.88 and 34,172.22 is: 51,258.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,911.79 : 184,368.88 = 34,172.22 : x
  2. Step 2: Convert to fraction form
    122,911.79/184,368.88 = 34,172.22/x
  3. Step 3: Cross multiply
    122,911.79x = 184,368.88 × 34,172.22
  4. Step 4: Simplify right side
    122,911.79x = 6,300,293,462.38
  5. Step 5: Solve for x
    x = 6,300,293,462.38/122,911.79
  6. Step 6: Final answer
    x = 51,258.66

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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.