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Finding the Fourth Proportional to 223,376.85, 308,260.74 and 127,884.26

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Solution

The fourth proportional to 223,376.85, 308,260.74 and 127,884.26 is: 176,480.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,376.85 : 308,260.74 = 127,884.26 : x
  2. Step 2: Convert to fraction form
    223,376.85/308,260.74 = 127,884.26/x
  3. Step 3: Cross multiply
    223,376.85x = 308,260.74 × 127,884.26
  4. Step 4: Simplify right side
    223,376.85x = 39,421,695,080.65
  5. Step 5: Solve for x
    x = 39,421,695,080.65/223,376.85
  6. Step 6: Final answer
    x = 176,480.67

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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.