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Finding the Fourth Proportional to 254,650.60, 382,148.70 and 165,687.40

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Solution

The fourth proportional to 254,650.60, 382,148.70 and 165,687.40 is: 248,643.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,650.60 : 382,148.70 = 165,687.40 : x
  2. Step 2: Convert to fraction form
    254,650.60/382,148.70 = 165,687.40/x
  3. Step 3: Cross multiply
    254,650.60x = 382,148.70 × 165,687.40
  4. Step 4: Simplify right side
    254,650.60x = 63,317,224,516.38
  5. Step 5: Solve for x
    x = 63,317,224,516.38/254,650.60
  6. Step 6: Final answer
    x = 248,643.53

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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.