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Finding the Fourth Proportional to 174,741, 262,111.50 and 43,413

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Solution

The fourth proportional to 174,741, 262,111.50 and 43,413 is: 65,119.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,741 : 262,111.50 = 43,413 : x
  2. Step 2: Convert to fraction form
    174,741/262,111.50 = 43,413/x
  3. Step 3: Cross multiply
    174,741x = 262,111.50 × 43,413
  4. Step 4: Simplify right side
    174,741x = 11,379,046,549.50
  5. Step 5: Solve for x
    x = 11,379,046,549.50/174,741
  6. Step 6: Final answer
    x = 65,119.50

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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.