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Finding the Fourth Proportional to 165,895.36, 228,935.46 and 90,443.86

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Solution

The fourth proportional to 165,895.36, 228,935.46 and 90,443.86 is: 124,812.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,895.36 : 228,935.46 = 90,443.86 : x
  2. Step 2: Convert to fraction form
    165,895.36/228,935.46 = 90,443.86/x
  3. Step 3: Cross multiply
    165,895.36x = 228,935.46 × 90,443.86
  4. Step 4: Simplify right side
    165,895.36x = 20,705,805,096.38
  5. Step 5: Solve for x
    x = 20,705,805,096.38/165,895.36
  6. Step 6: Final answer
    x = 124,812.45

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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.