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Finding the Fourth Proportional to 214,034.40, 320,744.40 and 157,432.80

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Solution

The fourth proportional to 214,034.40, 320,744.40 and 157,432.80 is: 235,923.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,034.40 : 320,744.40 = 157,432.80 : x
  2. Step 2: Convert to fraction form
    214,034.40/320,744.40 = 157,432.80/x
  3. Step 3: Cross multiply
    214,034.40x = 320,744.40 × 157,432.80
  4. Step 4: Simplify right side
    214,034.40x = 50,495,688,976.32
  5. Step 5: Solve for x
    x = 50,495,688,976.32/214,034.40
  6. Step 6: Final answer
    x = 235,923.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.