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Finding the Fourth Proportional to 265,985, 367,059.30 and 146,753

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Solution

The fourth proportional to 265,985, 367,059.30 and 146,753 is: 202,519.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,985 : 367,059.30 = 146,753 : x
  2. Step 2: Convert to fraction form
    265,985/367,059.30 = 146,753/x
  3. Step 3: Cross multiply
    265,985x = 367,059.30 × 146,753
  4. Step 4: Simplify right side
    265,985x = 53,867,053,452.90
  5. Step 5: Solve for x
    x = 53,867,053,452.90/265,985
  6. Step 6: Final answer
    x = 202,519.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.