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Finding the Fourth Proportional to 165,072.48, 227,814.12 and 93,465.12

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Solution

The fourth proportional to 165,072.48, 227,814.12 and 93,465.12 is: 128,989.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,072.48 : 227,814.12 = 93,465.12 : x
  2. Step 2: Convert to fraction form
    165,072.48/227,814.12 = 93,465.12/x
  3. Step 3: Cross multiply
    165,072.48x = 227,814.12 × 93,465.12
  4. Step 4: Simplify right side
    165,072.48x = 21,292,674,063.49
  5. Step 5: Solve for x
    x = 21,292,674,063.49/165,072.48
  6. Step 6: Final answer
    x = 128,989.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.