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Finding the Fourth Proportional to 393,748.25, 590,851.80 and 166,029.93

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Solution

The fourth proportional to 393,748.25, 590,851.80 and 166,029.93 is: 249,141.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,748.25 : 590,851.80 = 166,029.93 : x
  2. Step 2: Convert to fraction form
    393,748.25/590,851.80 = 166,029.93/x
  3. Step 3: Cross multiply
    393,748.25x = 590,851.80 × 166,029.93
  4. Step 4: Simplify right side
    393,748.25x = 98,099,082,994.37
  5. Step 5: Solve for x
    x = 98,099,082,994.37/393,748.25
  6. Step 6: Final answer
    x = 249,141.64

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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.