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Finding the Fourth Proportional to 102,704.90, 154,057.35 and 81,968.90

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Solution

The fourth proportional to 102,704.90, 154,057.35 and 81,968.90 is: 122,953.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,704.90 : 154,057.35 = 81,968.90 : x
  2. Step 2: Convert to fraction form
    102,704.90/154,057.35 = 81,968.90/x
  3. Step 3: Cross multiply
    102,704.90x = 154,057.35 × 81,968.90
  4. Step 4: Simplify right side
    102,704.90x = 12,627,911,516.42
  5. Step 5: Solve for x
    x = 12,627,911,516.42/102,704.90
  6. Step 6: Final answer
    x = 122,953.35

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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.