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Finding the Fourth Proportional to 208,000.20, 312,000.30 and 102,797.40

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Solution

The fourth proportional to 208,000.20, 312,000.30 and 102,797.40 is: 154,196.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,000.20 : 312,000.30 = 102,797.40 : x
  2. Step 2: Convert to fraction form
    208,000.20/312,000.30 = 102,797.40/x
  3. Step 3: Cross multiply
    208,000.20x = 312,000.30 × 102,797.40
  4. Step 4: Simplify right side
    208,000.20x = 32,072,819,639.22
  5. Step 5: Solve for x
    x = 32,072,819,639.22/208,000.20
  6. Step 6: Final answer
    x = 154,196.10

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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.