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Finding the Fourth Proportional to 253,953.63, 350,385.08 and 200,071.40

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Solution

The fourth proportional to 253,953.63, 350,385.08 and 200,071.40 is: 276,042.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,953.63 : 350,385.08 = 200,071.40 : x
  2. Step 2: Convert to fraction form
    253,953.63/350,385.08 = 200,071.40/x
  3. Step 3: Cross multiply
    253,953.63x = 350,385.08 × 200,071.40
  4. Step 4: Simplify right side
    253,953.63x = 70,102,030,742.43
  5. Step 5: Solve for x
    x = 70,102,030,742.43/253,953.63
  6. Step 6: Final answer
    x = 276,042.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.