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Finding the Fourth Proportional to 166,109.20, 248,866.80 and 101,075.20

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Solution

The fourth proportional to 166,109.20, 248,866.80 and 101,075.20 is: 151,432.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,109.20 : 248,866.80 = 101,075.20 : x
  2. Step 2: Convert to fraction form
    166,109.20/248,866.80 = 101,075.20/x
  3. Step 3: Cross multiply
    166,109.20x = 248,866.80 × 101,075.20
  4. Step 4: Simplify right side
    166,109.20x = 25,154,261,583.36
  5. Step 5: Solve for x
    x = 25,154,261,583.36/166,109.20
  6. Step 6: Final answer
    x = 151,432.08

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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.