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Finding the Fourth Proportional to 201,750.32, 302,576.88 and 89,368.40

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Solution

The fourth proportional to 201,750.32, 302,576.88 and 89,368.40 is: 134,031.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,750.32 : 302,576.88 = 89,368.40 : x
  2. Step 2: Convert to fraction form
    201,750.32/302,576.88 = 89,368.40/x
  3. Step 3: Cross multiply
    201,750.32x = 302,576.88 × 89,368.40
  4. Step 4: Simplify right side
    201,750.32x = 27,040,811,642.59
  5. Step 5: Solve for x
    x = 27,040,811,642.59/201,750.32
  6. Step 6: Final answer
    x = 134,031.07

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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.