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Finding the Fourth Proportional to 165,106.29, 227,842.29 and 93,493.11

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Solution

The fourth proportional to 165,106.29, 227,842.29 and 93,493.11 is: 129,018.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,106.29 : 227,842.29 = 93,493.11 : x
  2. Step 2: Convert to fraction form
    165,106.29/227,842.29 = 93,493.11/x
  3. Step 3: Cross multiply
    165,106.29x = 227,842.29 × 93,493.11
  4. Step 4: Simplify right side
    165,106.29x = 21,301,684,281.62
  5. Step 5: Solve for x
    x = 21,301,684,281.62/165,106.29
  6. Step 6: Final answer
    x = 129,018.01

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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.