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Finding the Fourth Proportional to 232,022.50, 320,345.49 and 178,211.50

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Solution

The fourth proportional to 232,022.50, 320,345.49 and 178,211.50 is: 246,050.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,022.50 : 320,345.49 = 178,211.50 : x
  2. Step 2: Convert to fraction form
    232,022.50/320,345.49 = 178,211.50/x
  3. Step 3: Cross multiply
    232,022.50x = 320,345.49 × 178,211.50
  4. Step 4: Simplify right side
    232,022.50x = 57,089,250,291.14
  5. Step 5: Solve for x
    x = 57,089,250,291.14/232,022.50
  6. Step 6: Final answer
    x = 246,050.49

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1.5x scale

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.