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Finding the Fourth Proportional to 353,575.80, 529,902.90 and 164,014.20

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Solution

The fourth proportional to 353,575.80, 529,902.90 and 164,014.20 is: 245,807.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,575.80 : 529,902.90 = 164,014.20 : x
  2. Step 2: Convert to fraction form
    353,575.80/529,902.90 = 164,014.20/x
  3. Step 3: Cross multiply
    353,575.80x = 529,902.90 × 164,014.20
  4. Step 4: Simplify right side
    353,575.80x = 86,911,600,221.18
  5. Step 5: Solve for x
    x = 86,911,600,221.18/353,575.80
  6. Step 6: Final answer
    x = 245,807.55

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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.