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Finding the Fourth Proportional to 165,368.75, 248,076.32 and 53,022.56

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Solution

The fourth proportional to 165,368.75, 248,076.32 and 53,022.56 is: 79,541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,368.75 : 248,076.32 = 53,022.56 : x
  2. Step 2: Convert to fraction form
    165,368.75/248,076.32 = 53,022.56/x
  3. Step 3: Cross multiply
    165,368.75x = 248,076.32 × 53,022.56
  4. Step 4: Simplify right side
    165,368.75x = 13,153,641,916.86
  5. Step 5: Solve for x
    x = 13,153,641,916.86/165,368.75
  6. Step 6: Final answer
    x = 79,541.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.