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Finding the Fourth Proportional to 170,823.40, 256,235.10 and 92,091.40

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Solution

The fourth proportional to 170,823.40, 256,235.10 and 92,091.40 is: 138,137.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,823.40 : 256,235.10 = 92,091.40 : x
  2. Step 2: Convert to fraction form
    170,823.40/256,235.10 = 92,091.40/x
  3. Step 3: Cross multiply
    170,823.40x = 256,235.10 × 92,091.40
  4. Step 4: Simplify right side
    170,823.40x = 23,597,049,088.14
  5. Step 5: Solve for x
    x = 23,597,049,088.14/170,823.40
  6. Step 6: Final answer
    x = 138,137.10

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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.