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Finding the Fourth Proportional to 265,100.50, 397,695.42 and 122,888.14

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Solution

The fourth proportional to 265,100.50, 397,695.42 and 122,888.14 is: 184,352.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,100.50 : 397,695.42 = 122,888.14 : x
  2. Step 2: Convert to fraction form
    265,100.50/397,695.42 = 122,888.14/x
  3. Step 3: Cross multiply
    265,100.50x = 397,695.42 × 122,888.14
  4. Step 4: Simplify right side
    265,100.50x = 48,872,050,450.32
  5. Step 5: Solve for x
    x = 48,872,050,450.32/265,100.50
  6. Step 6: Final answer
    x = 184,352.92

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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.