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Finding the Fourth Proportional to 192,050.19, 265,118.87 and 111,462.08

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Solution

The fourth proportional to 192,050.19, 265,118.87 and 111,462.08 is: 153,869.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,050.19 : 265,118.87 = 111,462.08 : x
  2. Step 2: Convert to fraction form
    192,050.19/265,118.87 = 111,462.08/x
  3. Step 3: Cross multiply
    192,050.19x = 265,118.87 × 111,462.08
  4. Step 4: Simplify right side
    192,050.19x = 29,550,699,650.51
  5. Step 5: Solve for x
    x = 29,550,699,650.51/192,050.19
  6. Step 6: Final answer
    x = 153,869.67

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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.