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Finding the Fourth Proportional to 257,173.51, 385,651.94 and 97,222.48

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Solution

The fourth proportional to 257,173.51, 385,651.94 and 97,222.48 is: 145,792.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,173.51 : 385,651.94 = 97,222.48 : x
  2. Step 2: Convert to fraction form
    257,173.51/385,651.94 = 97,222.48/x
  3. Step 3: Cross multiply
    257,173.51x = 385,651.94 × 97,222.48
  4. Step 4: Simplify right side
    257,173.51x = 37,494,036,573.37
  5. Step 5: Solve for x
    x = 37,494,036,573.37/257,173.51
  6. Step 6: Final answer
    x = 145,792.76

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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.