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Finding the Fourth Proportional to 167,203.89, 230,820.75 and 105,980.67

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Solution

The fourth proportional to 167,203.89, 230,820.75 and 105,980.67 is: 146,303.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,203.89 : 230,820.75 = 105,980.67 : x
  2. Step 2: Convert to fraction form
    167,203.89/230,820.75 = 105,980.67/x
  3. Step 3: Cross multiply
    167,203.89x = 230,820.75 × 105,980.67
  4. Step 4: Simplify right side
    167,203.89x = 24,462,537,734.90
  5. Step 5: Solve for x
    x = 24,462,537,734.90/167,203.89
  6. Step 6: Final answer
    x = 146,303.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.