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Finding the Fourth Proportional to 264,031.60, 395,998.80 and 164,012.80

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Solution

The fourth proportional to 264,031.60, 395,998.80 and 164,012.80 is: 245,989.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,031.60 : 395,998.80 = 164,012.80 : x
  2. Step 2: Convert to fraction form
    264,031.60/395,998.80 = 164,012.80/x
  3. Step 3: Cross multiply
    264,031.60x = 395,998.80 × 164,012.80
  4. Step 4: Simplify right side
    264,031.60x = 64,948,871,984.64
  5. Step 5: Solve for x
    x = 64,948,871,984.64/264,031.60
  6. Step 6: Final answer
    x = 245,989.01

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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.