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Finding the Fourth Proportional to 201,360, 302,040.96 and 53,616

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Solution

The fourth proportional to 201,360, 302,040.96 and 53,616 is: 80,424.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,360 : 302,040.96 = 53,616 : x
  2. Step 2: Convert to fraction form
    201,360/302,040.96 = 53,616/x
  3. Step 3: Cross multiply
    201,360x = 302,040.96 × 53,616
  4. Step 4: Simplify right side
    201,360x = 16,194,228,111.36
  5. Step 5: Solve for x
    x = 16,194,228,111.36/201,360
  6. Step 6: Final answer
    x = 80,424.26

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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.