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Finding the Fourth Proportional to 265,971.64, 367,088.34 and 158,548.52

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Solution

The fourth proportional to 265,971.64, 367,088.34 and 158,548.52 is: 218,825.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,971.64 : 367,088.34 = 158,548.52 : x
  2. Step 2: Convert to fraction form
    265,971.64/367,088.34 = 158,548.52/x
  3. Step 3: Cross multiply
    265,971.64x = 367,088.34 × 158,548.52
  4. Step 4: Simplify right side
    265,971.64x = 58,201,313,016.26
  5. Step 5: Solve for x
    x = 58,201,313,016.26/265,971.64
  6. Step 6: Final answer
    x = 218,825.26

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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.