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Finding the Fourth Proportional to 265,913.25, 398,871.18 and 97,446

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Solution

The fourth proportional to 265,913.25, 398,871.18 and 97,446 is: 146,169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,913.25 : 398,871.18 = 97,446 : x
  2. Step 2: Convert to fraction form
    265,913.25/398,871.18 = 97,446/x
  3. Step 3: Cross multiply
    265,913.25x = 398,871.18 × 97,446
  4. Step 4: Simplify right side
    265,913.25x = 38,868,401,006.28
  5. Step 5: Solve for x
    x = 38,868,401,006.28/265,913.25
  6. Step 6: Final answer
    x = 146,169.48

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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.