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Finding the Fourth Proportional to 173,838.70, 260,758.05 and 144,314.20

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Solution

The fourth proportional to 173,838.70, 260,758.05 and 144,314.20 is: 216,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,838.70 : 260,758.05 = 144,314.20 : x
  2. Step 2: Convert to fraction form
    173,838.70/260,758.05 = 144,314.20/x
  3. Step 3: Cross multiply
    173,838.70x = 260,758.05 × 144,314.20
  4. Step 4: Simplify right side
    173,838.70x = 37,631,089,379.31
  5. Step 5: Solve for x
    x = 37,631,089,379.31/173,838.70
  6. Step 6: Final answer
    x = 216,471.30

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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.