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Finding the Fourth Proportional to 208,701, 313,051.50 and 97,893

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Solution

The fourth proportional to 208,701, 313,051.50 and 97,893 is: 146,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,701 : 313,051.50 = 97,893 : x
  2. Step 2: Convert to fraction form
    208,701/313,051.50 = 97,893/x
  3. Step 3: Cross multiply
    208,701x = 313,051.50 × 97,893
  4. Step 4: Simplify right side
    208,701x = 30,645,550,489.50
  5. Step 5: Solve for x
    x = 30,645,550,489.50/208,701
  6. Step 6: Final answer
    x = 146,839.50

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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.