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Finding the Fourth Proportional to 122,706.30, 184,059.45 and 103,023.30

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Solution

The fourth proportional to 122,706.30, 184,059.45 and 103,023.30 is: 154,534.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,706.30 : 184,059.45 = 103,023.30 : x
  2. Step 2: Convert to fraction form
    122,706.30/184,059.45 = 103,023.30/x
  3. Step 3: Cross multiply
    122,706.30x = 184,059.45 × 103,023.30
  4. Step 4: Simplify right side
    122,706.30x = 18,962,411,935.19
  5. Step 5: Solve for x
    x = 18,962,411,935.19/122,706.30
  6. Step 6: Final answer
    x = 154,534.95

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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.