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Finding the Fourth Proportional to 402,172.25, 603,124.41 and 162,224.18

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Solution

The fourth proportional to 402,172.25, 603,124.41 and 162,224.18 is: 243,282.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,172.25 : 603,124.41 = 162,224.18 : x
  2. Step 2: Convert to fraction form
    402,172.25/603,124.41 = 162,224.18/x
  3. Step 3: Cross multiply
    402,172.25x = 603,124.41 × 162,224.18
  4. Step 4: Simplify right side
    402,172.25x = 97,841,362,850.23
  5. Step 5: Solve for x
    x = 97,841,362,850.23/402,172.25
  6. Step 6: Final answer
    x = 243,282.23

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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.