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Finding the Fourth Proportional to 164,075.24, 226,424.88 and 96,132.44

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Solution

The fourth proportional to 164,075.24, 226,424.88 and 96,132.44 is: 132,663.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,075.24 : 226,424.88 = 96,132.44 : x
  2. Step 2: Convert to fraction form
    164,075.24/226,424.88 = 96,132.44/x
  3. Step 3: Cross multiply
    164,075.24x = 226,424.88 × 96,132.44
  4. Step 4: Simplify right side
    164,075.24x = 21,766,776,191.11
  5. Step 5: Solve for x
    x = 21,766,776,191.11/164,075.24
  6. Step 6: Final answer
    x = 132,663.38

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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.