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Finding the Fourth Proportional to 202,962, 304,444.30 and 53,201

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Solution

The fourth proportional to 202,962, 304,444.30 and 53,201 is: 79,801.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,962 : 304,444.30 = 53,201 : x
  2. Step 2: Convert to fraction form
    202,962/304,444.30 = 53,201/x
  3. Step 3: Cross multiply
    202,962x = 304,444.30 × 53,201
  4. Step 4: Simplify right side
    202,962x = 16,196,741,204.30
  5. Step 5: Solve for x
    x = 16,196,741,204.30/202,962
  6. Step 6: Final answer
    x = 79,801.84

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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.