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Finding the Fourth Proportional to 201,639, 302,458.50 and 70,311

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Solution

The fourth proportional to 201,639, 302,458.50 and 70,311 is: 105,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,639 : 302,458.50 = 70,311 : x
  2. Step 2: Convert to fraction form
    201,639/302,458.50 = 70,311/x
  3. Step 3: Cross multiply
    201,639x = 302,458.50 × 70,311
  4. Step 4: Simplify right side
    201,639x = 21,266,159,593.50
  5. Step 5: Solve for x
    x = 21,266,159,593.50/201,639
  6. Step 6: Final answer
    x = 105,466.50

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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.