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Finding the Fourth Proportional to 199,038.26, 274,697.93 and 114,153.50

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Solution

The fourth proportional to 199,038.26, 274,697.93 and 114,153.50 is: 157,546.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,038.26 : 274,697.93 = 114,153.50 : x
  2. Step 2: Convert to fraction form
    199,038.26/274,697.93 = 114,153.50/x
  3. Step 3: Cross multiply
    199,038.26x = 274,697.93 × 114,153.50
  4. Step 4: Simplify right side
    199,038.26x = 31,357,730,152.26
  5. Step 5: Solve for x
    x = 31,357,730,152.26/199,038.26
  6. Step 6: Final answer
    x = 157,546.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.