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Finding the Fourth Proportional to 164,048, 226,386.28 and 88,596.52

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Solution

The fourth proportional to 164,048, 226,386.28 and 88,596.52 is: 122,263.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,048 : 226,386.28 = 88,596.52 : x
  2. Step 2: Convert to fraction form
    164,048/226,386.28 = 88,596.52/x
  3. Step 3: Cross multiply
    164,048x = 226,386.28 × 88,596.52
  4. Step 4: Simplify right side
    164,048x = 20,057,036,583.75
  5. Step 5: Solve for x
    x = 20,057,036,583.75/164,048
  6. Step 6: Final answer
    x = 122,263.22

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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.