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Finding the Fourth Proportional to 306,435.68, 459,653.53 and 96,090.56

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Solution

The fourth proportional to 306,435.68, 459,653.53 and 96,090.56 is: 144,135.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,435.68 : 459,653.53 = 96,090.56 : x
  2. Step 2: Convert to fraction form
    306,435.68/459,653.53 = 96,090.56/x
  3. Step 3: Cross multiply
    306,435.68x = 459,653.53 × 96,090.56
  4. Step 4: Simplify right side
    306,435.68x = 44,168,365,103.68
  5. Step 5: Solve for x
    x = 44,168,365,103.68/306,435.68
  6. Step 6: Final answer
    x = 144,135.84

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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.