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Finding the Fourth Proportional to 101,465.40, 152,198.10 and 98,873.40

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Solution

The fourth proportional to 101,465.40, 152,198.10 and 98,873.40 is: 148,310.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,465.40 : 152,198.10 = 98,873.40 : x
  2. Step 2: Convert to fraction form
    101,465.40/152,198.10 = 98,873.40/x
  3. Step 3: Cross multiply
    101,465.40x = 152,198.10 × 98,873.40
  4. Step 4: Simplify right side
    101,465.40x = 15,048,343,620.54
  5. Step 5: Solve for x
    x = 15,048,343,620.54/101,465.40
  6. Step 6: Final answer
    x = 148,310.10

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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.