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Finding the Fourth Proportional to 265,261.29, 397,852.38 and 96,742.02

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Solution

The fourth proportional to 265,261.29, 397,852.38 and 96,742.02 is: 145,098.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,261.29 : 397,852.38 = 96,742.02 : x
  2. Step 2: Convert to fraction form
    265,261.29/397,852.38 = 96,742.02/x
  3. Step 3: Cross multiply
    265,261.29x = 397,852.38 × 96,742.02
  4. Step 4: Simplify right side
    265,261.29x = 38,489,042,903.01
  5. Step 5: Solve for x
    x = 38,489,042,903.01/265,261.29
  6. Step 6: Final answer
    x = 145,098.60

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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.