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Finding the Fourth Proportional to 253,684.17, 380,544.01 and 101,881.26

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Solution

The fourth proportional to 253,684.17, 380,544.01 and 101,881.26 is: 152,829.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,684.17 : 380,544.01 = 101,881.26 : x
  2. Step 2: Convert to fraction form
    253,684.17/380,544.01 = 101,881.26/x
  3. Step 3: Cross multiply
    253,684.17x = 380,544.01 × 101,881.26
  4. Step 4: Simplify right side
    253,684.17x = 38,770,302,969.55
  5. Step 5: Solve for x
    x = 38,770,302,969.55/253,684.17
  6. Step 6: Final answer
    x = 152,829.02

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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.