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Finding the Fourth Proportional to 201,401.32, 302,059.40 and 59,208

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Solution

The fourth proportional to 201,401.32, 302,059.40 and 59,208 is: 88,799.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,401.32 : 302,059.40 = 59,208 : x
  2. Step 2: Convert to fraction form
    201,401.32/302,059.40 = 59,208/x
  3. Step 3: Cross multiply
    201,401.32x = 302,059.40 × 59,208
  4. Step 4: Simplify right side
    201,401.32x = 17,884,332,955.20
  5. Step 5: Solve for x
    x = 17,884,332,955.20/201,401.32
  6. Step 6: Final answer
    x = 88,799.48

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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.