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Finding the Fourth Proportional to 253,522.26, 349,938.54 and 146,163.96

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Solution

The fourth proportional to 253,522.26, 349,938.54 and 146,163.96 is: 201,751.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,522.26 : 349,938.54 = 146,163.96 : x
  2. Step 2: Convert to fraction form
    253,522.26/349,938.54 = 146,163.96/x
  3. Step 3: Cross multiply
    253,522.26x = 349,938.54 × 146,163.96
  4. Step 4: Simplify right side
    253,522.26x = 51,148,402,763.02
  5. Step 5: Solve for x
    x = 51,148,402,763.02/253,522.26
  6. Step 6: Final answer
    x = 201,751.13

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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.