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Finding the Fourth Proportional to 180,613, 270,919.50 and 49,285

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Solution

The fourth proportional to 180,613, 270,919.50 and 49,285 is: 73,927.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,613 : 270,919.50 = 49,285 : x
  2. Step 2: Convert to fraction form
    180,613/270,919.50 = 49,285/x
  3. Step 3: Cross multiply
    180,613x = 270,919.50 × 49,285
  4. Step 4: Simplify right side
    180,613x = 13,352,267,557.50
  5. Step 5: Solve for x
    x = 13,352,267,557.50/180,613
  6. Step 6: Final answer
    x = 73,927.50

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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.