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Finding the Fourth Proportional to 178,788.74, 269,438.48 and 161,041.64

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Solution

The fourth proportional to 178,788.74, 269,438.48 and 161,041.64 is: 242,693.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,788.74 : 269,438.48 = 161,041.64 : x
  2. Step 2: Convert to fraction form
    178,788.74/269,438.48 = 161,041.64/x
  3. Step 3: Cross multiply
    178,788.74x = 269,438.48 × 161,041.64
  4. Step 4: Simplify right side
    178,788.74x = 43,390,814,698.31
  5. Step 5: Solve for x
    x = 43,390,814,698.31/178,788.74
  6. Step 6: Final answer
    x = 242,693.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.