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Finding the Fourth Proportional to 265,449, 366,319.64 and 146,217

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Solution

The fourth proportional to 265,449, 366,319.64 and 146,217 is: 201,779.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,449 : 366,319.64 = 146,217 : x
  2. Step 2: Convert to fraction form
    265,449/366,319.64 = 146,217/x
  3. Step 3: Cross multiply
    265,449x = 366,319.64 × 146,217
  4. Step 4: Simplify right side
    265,449x = 53,562,158,801.88
  5. Step 5: Solve for x
    x = 53,562,158,801.88/265,449
  6. Step 6: Final answer
    x = 201,779.47

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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.