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Finding the Fourth Proportional to 202,960.45, 304,434.40 and 96,421.10

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Solution

The fourth proportional to 202,960.45, 304,434.40 and 96,421.10 is: 144,628.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,960.45 : 304,434.40 = 96,421.10 : x
  2. Step 2: Convert to fraction form
    202,960.45/304,434.40 = 96,421.10/x
  3. Step 3: Cross multiply
    202,960.45x = 304,434.40 × 96,421.10
  4. Step 4: Simplify right side
    202,960.45x = 29,353,899,725.84
  5. Step 5: Solve for x
    x = 29,353,899,725.84/202,960.45
  6. Step 6: Final answer
    x = 144,628.67

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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.