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Finding the Fourth Proportional to 283,638.52, 425,056.74 and 157,334.50

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Solution

The fourth proportional to 283,638.52, 425,056.74 and 157,334.50 is: 235,779.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,638.52 : 425,056.74 = 157,334.50 : x
  2. Step 2: Convert to fraction form
    283,638.52/425,056.74 = 157,334.50/x
  3. Step 3: Cross multiply
    283,638.52x = 425,056.74 × 157,334.50
  4. Step 4: Simplify right side
    283,638.52x = 66,876,089,659.53
  5. Step 5: Solve for x
    x = 66,876,089,659.53/283,638.52
  6. Step 6: Final answer
    x = 235,779.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.