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Finding the Fourth Proportional to 197,376, 295,741.44 and 118,302.72

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Solution

The fourth proportional to 197,376, 295,741.44 and 118,302.72 is: 177,260.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,376 : 295,741.44 = 118,302.72 : x
  2. Step 2: Convert to fraction form
    197,376/295,741.44 = 118,302.72/x
  3. Step 3: Cross multiply
    197,376x = 295,741.44 × 118,302.72
  4. Step 4: Simplify right side
    197,376x = 34,987,016,768.72
  5. Step 5: Solve for x
    x = 34,987,016,768.72/197,376
  6. Step 6: Final answer
    x = 177,260.74

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Why These Related Problems?

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