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Finding the Fourth Proportional to 265,274, 366,078.24 and 146,042

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Solution

The fourth proportional to 265,274, 366,078.24 and 146,042 is: 201,538.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,274 : 366,078.24 = 146,042 : x
  2. Step 2: Convert to fraction form
    265,274/366,078.24 = 146,042/x
  3. Step 3: Cross multiply
    265,274x = 366,078.24 × 146,042
  4. Step 4: Simplify right side
    265,274x = 53,462,798,326.08
  5. Step 5: Solve for x
    x = 53,462,798,326.08/265,274
  6. Step 6: Final answer
    x = 201,538.03

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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.