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Finding the Fourth Proportional to 265,156.52, 397,682.94 and 98,911.40

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Solution

The fourth proportional to 265,156.52, 397,682.94 and 98,911.40 is: 148,347.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,156.52 : 397,682.94 = 98,911.40 : x
  2. Step 2: Convert to fraction form
    265,156.52/397,682.94 = 98,911.40/x
  3. Step 3: Cross multiply
    265,156.52x = 397,682.94 × 98,911.40
  4. Step 4: Simplify right side
    265,156.52x = 39,335,376,351.52
  5. Step 5: Solve for x
    x = 39,335,376,351.52/265,156.52
  6. Step 6: Final answer
    x = 148,347.76

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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.