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Finding the Fourth Proportional to 223,501.75, 308,559.51 and 178,034.02

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Solution

The fourth proportional to 223,501.75, 308,559.51 and 178,034.02 is: 245,788.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,501.75 : 308,559.51 = 178,034.02 : x
  2. Step 2: Convert to fraction form
    223,501.75/308,559.51 = 178,034.02/x
  3. Step 3: Cross multiply
    223,501.75x = 308,559.51 × 178,034.02
  4. Step 4: Simplify right side
    223,501.75x = 54,934,089,203.13
  5. Step 5: Solve for x
    x = 54,934,089,203.13/223,501.75
  6. Step 6: Final answer
    x = 245,788.19

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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.