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Finding the Fourth Proportional to 201,707.64, 302,561.16 and 61,466.28

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Solution

The fourth proportional to 201,707.64, 302,561.16 and 61,466.28 is: 92,199.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,707.64 : 302,561.16 = 61,466.28 : x
  2. Step 2: Convert to fraction form
    201,707.64/302,561.16 = 61,466.28/x
  3. Step 3: Cross multiply
    201,707.64x = 302,561.16 × 61,466.28
  4. Step 4: Simplify right side
    201,707.64x = 18,597,308,977.68
  5. Step 5: Solve for x
    x = 18,597,308,977.68/201,707.64
  6. Step 6: Final answer
    x = 92,199.33

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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.