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Finding the Fourth Proportional to 165,496, 228,389.34 and 90,049.36

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Solution

The fourth proportional to 165,496, 228,389.34 and 90,049.36 is: 124,270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,496 : 228,389.34 = 90,049.36 : x
  2. Step 2: Convert to fraction form
    165,496/228,389.34 = 90,049.36/x
  3. Step 3: Cross multiply
    165,496x = 228,389.34 × 90,049.36
  4. Step 4: Simplify right side
    165,496x = 20,566,313,897.82
  5. Step 5: Solve for x
    x = 20,566,313,897.82/165,496
  6. Step 6: Final answer
    x = 124,270.76

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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.