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Finding the Fourth Proportional to 102,254.78, 153,452.24 and 35,694.92

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Solution

The fourth proportional to 102,254.78, 153,452.24 and 35,694.92 is: 53,566.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,254.78 : 153,452.24 = 35,694.92 : x
  2. Step 2: Convert to fraction form
    102,254.78/153,452.24 = 35,694.92/x
  3. Step 3: Cross multiply
    102,254.78x = 153,452.24 × 35,694.92
  4. Step 4: Simplify right side
    102,254.78x = 5,477,465,194.19
  5. Step 5: Solve for x
    x = 5,477,465,194.19/102,254.78
  6. Step 6: Final answer
    x = 53,566.84

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1.5x scale

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.