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Finding the Fourth Proportional to 201,897.74, 278,628.27 and 117,041.42

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Solution

The fourth proportional to 201,897.74, 278,628.27 and 117,041.42 is: 161,522.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,897.74 : 278,628.27 = 117,041.42 : x
  2. Step 2: Convert to fraction form
    201,897.74/278,628.27 = 117,041.42/x
  3. Step 3: Cross multiply
    201,897.74x = 278,628.27 × 117,041.42
  4. Step 4: Simplify right side
    201,897.74x = 32,611,048,372.94
  5. Step 5: Solve for x
    x = 32,611,048,372.94/201,897.74
  6. Step 6: Final answer
    x = 161,522.60

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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.