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Finding the Fourth Proportional to 214,162.93, 295,069.04 and 141,436.67

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Solution

The fourth proportional to 214,162.93, 295,069.04 and 141,436.67 is: 194,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,162.93 : 295,069.04 = 141,436.67 : x
  2. Step 2: Convert to fraction form
    214,162.93/295,069.04 = 141,436.67/x
  3. Step 3: Cross multiply
    214,162.93x = 295,069.04 × 141,436.67
  4. Step 4: Simplify right side
    214,162.93x = 41,733,582,437.70
  5. Step 5: Solve for x
    x = 41,733,582,437.70/214,162.93
  6. Step 6: Final answer
    x = 194,868.38

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Why These Related Problems?

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