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Finding the Fourth Proportional to 110,838.40, 166,075.20 and 64,009.60

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Solution

The fourth proportional to 110,838.40, 166,075.20 and 64,009.60 is: 95,909.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,838.40 : 166,075.20 = 64,009.60 : x
  2. Step 2: Convert to fraction form
    110,838.40/166,075.20 = 64,009.60/x
  3. Step 3: Cross multiply
    110,838.40x = 166,075.20 × 64,009.60
  4. Step 4: Simplify right side
    110,838.40x = 10,630,407,121.92
  5. Step 5: Solve for x
    x = 10,630,407,121.92/110,838.40
  6. Step 6: Final answer
    x = 95,909.06

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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.