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Finding the Fourth Proportional to 306,047.70, 459,071.55 and 106,301.70

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Solution

The fourth proportional to 306,047.70, 459,071.55 and 106,301.70 is: 159,452.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,047.70 : 459,071.55 = 106,301.70 : x
  2. Step 2: Convert to fraction form
    306,047.70/459,071.55 = 106,301.70/x
  3. Step 3: Cross multiply
    306,047.70x = 459,071.55 × 106,301.70
  4. Step 4: Simplify right side
    306,047.70x = 48,800,086,186.64
  5. Step 5: Solve for x
    x = 48,800,086,186.64/306,047.70
  6. Step 6: Final answer
    x = 159,452.55

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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.