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Finding the Fourth Proportional to 306,526.96, 459,789.92 and 96,181.28

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Solution

The fourth proportional to 306,526.96, 459,789.92 and 96,181.28 is: 144,271.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,526.96 : 459,789.92 = 96,181.28 : x
  2. Step 2: Convert to fraction form
    306,526.96/459,789.92 = 96,181.28/x
  3. Step 3: Cross multiply
    306,526.96x = 459,789.92 × 96,181.28
  4. Step 4: Simplify right side
    306,526.96x = 44,223,183,036.70
  5. Step 5: Solve for x
    x = 44,223,183,036.70/306,526.96
  6. Step 6: Final answer
    x = 144,271.76

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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.