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Finding the Fourth Proportional to 257,783.50, 355,743.66 and 144,608.68

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Solution

The fourth proportional to 257,783.50, 355,743.66 and 144,608.68 is: 199,561.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,783.50 : 355,743.66 = 144,608.68 : x
  2. Step 2: Convert to fraction form
    257,783.50/355,743.66 = 144,608.68/x
  3. Step 3: Cross multiply
    257,783.50x = 355,743.66 × 144,608.68
  4. Step 4: Simplify right side
    257,783.50x = 51,443,621,090.97
  5. Step 5: Solve for x
    x = 51,443,621,090.97/257,783.50
  6. Step 6: Final answer
    x = 199,561.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.