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Finding the Fourth Proportional to 254,907.93, 382,138.34 and 97,031.37

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Solution

The fourth proportional to 254,907.93, 382,138.34 and 97,031.37 is: 145,461.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,907.93 : 382,138.34 = 97,031.37 : x
  2. Step 2: Convert to fraction form
    254,907.93/382,138.34 = 97,031.37/x
  3. Step 3: Cross multiply
    254,907.93x = 382,138.34 × 97,031.37
  4. Step 4: Simplify right side
    254,907.93x = 37,079,406,174.57
  5. Step 5: Solve for x
    x = 37,079,406,174.57/254,907.93
  6. Step 6: Final answer
    x = 145,461.96

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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.