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Finding the Fourth Proportional to 145,697.88, 218,585.68 and 52,213.08

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Solution

The fourth proportional to 145,697.88, 218,585.68 and 52,213.08 is: 78,333.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,697.88 : 218,585.68 = 52,213.08 : x
  2. Step 2: Convert to fraction form
    145,697.88/218,585.68 = 52,213.08/x
  3. Step 3: Cross multiply
    145,697.88x = 218,585.68 × 52,213.08
  4. Step 4: Simplify right side
    145,697.88x = 11,413,031,596.69
  5. Step 5: Solve for x
    x = 11,413,031,596.69/145,697.88
  6. Step 6: Final answer
    x = 78,333.55

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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.