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Finding the Fourth Proportional to 170,930.98, 256,430.49 and 52,597.81

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Solution

The fourth proportional to 170,930.98, 256,430.49 and 52,597.81 is: 78,907.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,930.98 : 256,430.49 = 52,597.81 : x
  2. Step 2: Convert to fraction form
    170,930.98/256,430.49 = 52,597.81/x
  3. Step 3: Cross multiply
    170,930.98x = 256,430.49 × 52,597.81
  4. Step 4: Simplify right side
    170,930.98x = 13,487,682,191.23
  5. Step 5: Solve for x
    x = 13,487,682,191.23/170,930.98
  6. Step 6: Final answer
    x = 78,907.18

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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.