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Finding the Fourth Proportional to 201,886.28, 302,828.61 and 75,536

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Solution

The fourth proportional to 201,886.28, 302,828.61 and 75,536 is: 113,303.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,886.28 : 302,828.61 = 75,536 : x
  2. Step 2: Convert to fraction form
    201,886.28/302,828.61 = 75,536/x
  3. Step 3: Cross multiply
    201,886.28x = 302,828.61 × 75,536
  4. Step 4: Simplify right side
    201,886.28x = 22,874,461,884.96
  5. Step 5: Solve for x
    x = 22,874,461,884.96/201,886.28
  6. Step 6: Final answer
    x = 113,303.70

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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.