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Finding the Fourth Proportional to 343,201.90, 514,871.49 and 118,570.54

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Solution

The fourth proportional to 343,201.90, 514,871.49 and 118,570.54 is: 177,879.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,201.90 : 514,871.49 = 118,570.54 : x
  2. Step 2: Convert to fraction form
    343,201.90/514,871.49 = 118,570.54/x
  3. Step 3: Cross multiply
    343,201.90x = 514,871.49 × 118,570.54
  4. Step 4: Simplify right side
    343,201.90x = 61,048,590,599.90
  5. Step 5: Solve for x
    x = 61,048,590,599.90/343,201.90
  6. Step 6: Final answer
    x = 177,879.52

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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.