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Finding the Fourth Proportional to 161,107.40, 241,430.70 and 111,801.80

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Solution

The fourth proportional to 161,107.40, 241,430.70 and 111,801.80 is: 167,542.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,107.40 : 241,430.70 = 111,801.80 : x
  2. Step 2: Convert to fraction form
    161,107.40/241,430.70 = 111,801.80/x
  3. Step 3: Cross multiply
    161,107.40x = 241,430.70 × 111,801.80
  4. Step 4: Simplify right side
    161,107.40x = 26,992,386,835.26
  5. Step 5: Solve for x
    x = 26,992,386,835.26/161,107.40
  6. Step 6: Final answer
    x = 167,542.81

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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.