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Finding the Fourth Proportional to 265,041.01, 397,324.24 and 96,442.45

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Solution

The fourth proportional to 265,041.01, 397,324.24 and 96,442.45 is: 144,577.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,041.01 : 397,324.24 = 96,442.45 : x
  2. Step 2: Convert to fraction form
    265,041.01/397,324.24 = 96,442.45/x
  3. Step 3: Cross multiply
    265,041.01x = 397,324.24 × 96,442.45
  4. Step 4: Simplify right side
    265,041.01x = 38,318,921,915.57
  5. Step 5: Solve for x
    x = 38,318,921,915.57/265,041.01
  6. Step 6: Final answer
    x = 144,577.33

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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.