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Finding the Fourth Proportional to 201,622.49, 302,485.62 and 59,462.02

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Solution

The fourth proportional to 201,622.49, 302,485.62 and 59,462.02 is: 89,208.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,622.49 : 302,485.62 = 59,462.02 : x
  2. Step 2: Convert to fraction form
    201,622.49/302,485.62 = 59,462.02/x
  3. Step 3: Cross multiply
    201,622.49x = 302,485.62 × 59,462.02
  4. Step 4: Simplify right side
    201,622.49x = 17,986,407,312.56
  5. Step 5: Solve for x
    x = 17,986,407,312.56/201,622.49
  6. Step 6: Final answer
    x = 89,208.34

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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.