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Finding the Fourth Proportional to 257,596.96, 355,506.96 and 150,201.76

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Solution

The fourth proportional to 257,596.96, 355,506.96 and 150,201.76 is: 207,291.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,596.96 : 355,506.96 = 150,201.76 : x
  2. Step 2: Convert to fraction form
    257,596.96/355,506.96 = 150,201.76/x
  3. Step 3: Cross multiply
    257,596.96x = 355,506.96 × 150,201.76
  4. Step 4: Simplify right side
    257,596.96x = 53,397,771,084.25
  5. Step 5: Solve for x
    x = 53,397,771,084.25/257,596.96
  6. Step 6: Final answer
    x = 207,291.93

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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.