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Finding the Fourth Proportional to 98,097.45, 147,146.22 and 45,478.23

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Solution

The fourth proportional to 98,097.45, 147,146.22 and 45,478.23 is: 68,217.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,097.45 : 147,146.22 = 45,478.23 : x
  2. Step 2: Convert to fraction form
    98,097.45/147,146.22 = 45,478.23/x
  3. Step 3: Cross multiply
    98,097.45x = 147,146.22 × 45,478.23
  4. Step 4: Simplify right side
    98,097.45x = 6,691,949,636.79
  5. Step 5: Solve for x
    x = 6,691,949,636.79/98,097.45
  6. Step 6: Final answer
    x = 68,217.37

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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.