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Finding the Fourth Proportional to 199,445.48, 299,080.50 and 74,699

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Solution

The fourth proportional to 199,445.48, 299,080.50 and 74,699 is: 112,015.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,445.48 : 299,080.50 = 74,699 : x
  2. Step 2: Convert to fraction form
    199,445.48/299,080.50 = 74,699/x
  3. Step 3: Cross multiply
    199,445.48x = 299,080.50 × 74,699
  4. Step 4: Simplify right side
    199,445.48x = 22,341,014,269.50
  5. Step 5: Solve for x
    x = 22,341,014,269.50/199,445.48
  6. Step 6: Final answer
    x = 112,015.65

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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.