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Finding the Fourth Proportional to 190,577, 285,865.50 and 79,769

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Solution

The fourth proportional to 190,577, 285,865.50 and 79,769 is: 119,653.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,577 : 285,865.50 = 79,769 : x
  2. Step 2: Convert to fraction form
    190,577/285,865.50 = 79,769/x
  3. Step 3: Cross multiply
    190,577x = 285,865.50 × 79,769
  4. Step 4: Simplify right side
    190,577x = 22,803,205,069.50
  5. Step 5: Solve for x
    x = 22,803,205,069.50/190,577
  6. Step 6: Final answer
    x = 119,653.50

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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.