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Finding the Fourth Proportional to 165,058.62, 227,786.36 and 93,437.16

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Solution

The fourth proportional to 165,058.62, 227,786.36 and 93,437.16 is: 128,946.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,058.62 : 227,786.36 = 93,437.16 : x
  2. Step 2: Convert to fraction form
    165,058.62/227,786.36 = 93,437.16/x
  3. Step 3: Cross multiply
    165,058.62x = 227,786.36 × 93,437.16
  4. Step 4: Simplify right side
    165,058.62x = 21,283,710,565.14
  5. Step 5: Solve for x
    x = 21,283,710,565.14/165,058.62
  6. Step 6: Final answer
    x = 128,946.37

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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.