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Finding the Fourth Proportional to 217,364, 326,075.16 and 92,734.16

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Solution

The fourth proportional to 217,364, 326,075.16 and 92,734.16 is: 139,113.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,364 : 326,075.16 = 92,734.16 : x
  2. Step 2: Convert to fraction form
    217,364/326,075.16 = 92,734.16/x
  3. Step 3: Cross multiply
    217,364x = 326,075.16 × 92,734.16
  4. Step 4: Simplify right side
    217,364x = 30,238,306,059.47
  5. Step 5: Solve for x
    x = 30,238,306,059.47/217,364
  6. Step 6: Final answer
    x = 139,113.68

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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.