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Finding the Fourth Proportional to 201,634.50, 302,451.75 and 70,306.50

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Solution

The fourth proportional to 201,634.50, 302,451.75 and 70,306.50 is: 105,459.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,634.50 : 302,451.75 = 70,306.50 : x
  2. Step 2: Convert to fraction form
    201,634.50/302,451.75 = 70,306.50/x
  3. Step 3: Cross multiply
    201,634.50x = 302,451.75 × 70,306.50
  4. Step 4: Simplify right side
    201,634.50x = 21,264,323,961.38
  5. Step 5: Solve for x
    x = 21,264,323,961.38/201,634.50
  6. Step 6: Final answer
    x = 105,459.75

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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.