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Finding the Fourth Proportional to 265,543.54, 397,928.94 and 164,125.06

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Solution

The fourth proportional to 265,543.54, 397,928.94 and 164,125.06 is: 245,948.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,543.54 : 397,928.94 = 164,125.06 : x
  2. Step 2: Convert to fraction form
    265,543.54/397,928.94 = 164,125.06/x
  3. Step 3: Cross multiply
    265,543.54x = 397,928.94 × 164,125.06
  4. Step 4: Simplify right side
    265,543.54x = 65,310,111,153.24
  5. Step 5: Solve for x
    x = 65,310,111,153.24/265,543.54
  6. Step 6: Final answer
    x = 245,948.79

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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.