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Finding the Fourth Proportional to 101,970.26, 153,048.77 and 52,085.33

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Solution

The fourth proportional to 101,970.26, 153,048.77 and 52,085.33 is: 78,175.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,970.26 : 153,048.77 = 52,085.33 : x
  2. Step 2: Convert to fraction form
    101,970.26/153,048.77 = 52,085.33/x
  3. Step 3: Cross multiply
    101,970.26x = 153,048.77 × 52,085.33
  4. Step 4: Simplify right side
    101,970.26x = 7,971,594,665.87
  5. Step 5: Solve for x
    x = 7,971,594,665.87/101,970.26
  6. Step 6: Final answer
    x = 78,175.69

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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.