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Finding the Fourth Proportional to 111,730.20, 167,595.30 and 105,898.20

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Solution

The fourth proportional to 111,730.20, 167,595.30 and 105,898.20 is: 158,847.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,730.20 : 167,595.30 = 105,898.20 : x
  2. Step 2: Convert to fraction form
    111,730.20/167,595.30 = 105,898.20/x
  3. Step 3: Cross multiply
    111,730.20x = 167,595.30 × 105,898.20
  4. Step 4: Simplify right side
    111,730.20x = 17,748,040,598.46
  5. Step 5: Solve for x
    x = 17,748,040,598.46/111,730.20
  6. Step 6: Final answer
    x = 158,847.30

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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.