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Finding the Fourth Proportional to 213,608.16, 320,605.92 and 113,852.16

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Solution

The fourth proportional to 213,608.16, 320,605.92 and 113,852.16 is: 170,881.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,608.16 : 320,605.92 = 113,852.16 : x
  2. Step 2: Convert to fraction form
    213,608.16/320,605.92 = 113,852.16/x
  3. Step 3: Cross multiply
    213,608.16x = 320,605.92 × 113,852.16
  4. Step 4: Simplify right side
    213,608.16x = 36,501,676,500.79
  5. Step 5: Solve for x
    x = 36,501,676,500.79/213,608.16
  6. Step 6: Final answer
    x = 170,881.47

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1.5x scale

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.