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Finding the Fourth Proportional to 276,097.40, 414,000.30 and 118,147.40

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Solution

The fourth proportional to 276,097.40, 414,000.30 and 118,147.40 is: 177,158.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,097.40 : 414,000.30 = 118,147.40 : x
  2. Step 2: Convert to fraction form
    276,097.40/414,000.30 = 118,147.40/x
  3. Step 3: Cross multiply
    276,097.40x = 414,000.30 × 118,147.40
  4. Step 4: Simplify right side
    276,097.40x = 48,913,059,044.22
  5. Step 5: Solve for x
    x = 48,913,059,044.22/276,097.40
  6. Step 6: Final answer
    x = 177,158.71

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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.