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Finding the Fourth Proportional to 255,093.40, 382,202.70 and 166,301.20

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Solution

The fourth proportional to 255,093.40, 382,202.70 and 166,301.20 is: 249,166.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,093.40 : 382,202.70 = 166,301.20 : x
  2. Step 2: Convert to fraction form
    255,093.40/382,202.70 = 166,301.20/x
  3. Step 3: Cross multiply
    255,093.40x = 382,202.70 × 166,301.20
  4. Step 4: Simplify right side
    255,093.40x = 63,560,767,653.24
  5. Step 5: Solve for x
    x = 63,560,767,653.24/255,093.40
  6. Step 6: Final answer
    x = 249,166.65

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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.