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Finding the Fourth Proportional to 201,846.07, 302,597.30 and 89,465.02

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Solution

The fourth proportional to 201,846.07, 302,597.30 and 89,465.02 is: 134,121.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,846.07 : 302,597.30 = 89,465.02 : x
  2. Step 2: Convert to fraction form
    201,846.07/302,597.30 = 89,465.02/x
  3. Step 3: Cross multiply
    201,846.07x = 302,597.30 × 89,465.02
  4. Step 4: Simplify right side
    201,846.07x = 27,071,873,496.45
  5. Step 5: Solve for x
    x = 27,071,873,496.45/201,846.07
  6. Step 6: Final answer
    x = 134,121.38

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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.