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Finding the Fourth Proportional to 306,438.42, 459,657.63 and 96,093.30

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Solution

The fourth proportional to 306,438.42, 459,657.63 and 96,093.30 is: 144,139.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,438.42 : 459,657.63 = 96,093.30 : x
  2. Step 2: Convert to fraction form
    306,438.42/459,657.63 = 96,093.30/x
  3. Step 3: Cross multiply
    306,438.42x = 459,657.63 × 96,093.30
  4. Step 4: Simplify right side
    306,438.42x = 44,170,018,536.88
  5. Step 5: Solve for x
    x = 44,170,018,536.88/306,438.42
  6. Step 6: Final answer
    x = 144,139.95

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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.