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Finding the Fourth Proportional to 102,847.70, 154,271.55 and 101,465.30

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Solution

The fourth proportional to 102,847.70, 154,271.55 and 101,465.30 is: 152,197.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,847.70 : 154,271.55 = 101,465.30 : x
  2. Step 2: Convert to fraction form
    102,847.70/154,271.55 = 101,465.30/x
  3. Step 3: Cross multiply
    102,847.70x = 154,271.55 × 101,465.30
  4. Step 4: Simplify right side
    102,847.70x = 15,653,209,102.22
  5. Step 5: Solve for x
    x = 15,653,209,102.22/102,847.70
  6. Step 6: Final answer
    x = 152,197.95

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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.