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Finding the Fourth Proportional to 165,063.30, 227,788.30 and 97,083.14

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Solution

The fourth proportional to 165,063.30, 227,788.30 and 97,083.14 is: 133,975.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,063.30 : 227,788.30 = 97,083.14 : x
  2. Step 2: Convert to fraction form
    165,063.30/227,788.30 = 97,083.14/x
  3. Step 3: Cross multiply
    165,063.30x = 227,788.30 × 97,083.14
  4. Step 4: Simplify right side
    165,063.30x = 22,114,403,419.26
  5. Step 5: Solve for x
    x = 22,114,403,419.26/165,063.30
  6. Step 6: Final answer
    x = 133,975.29

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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.