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Finding the Fourth Proportional to 312,166.43, 430,809.19 and 176,223.41

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Solution

The fourth proportional to 312,166.43, 430,809.19 and 176,223.41 is: 243,199.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,166.43 : 430,809.19 = 176,223.41 : x
  2. Step 2: Convert to fraction form
    312,166.43/430,809.19 = 176,223.41/x
  3. Step 3: Cross multiply
    312,166.43x = 430,809.19 × 176,223.41
  4. Step 4: Simplify right side
    312,166.43x = 75,918,665,157.60
  5. Step 5: Solve for x
    x = 75,918,665,157.60/312,166.43
  6. Step 6: Final answer
    x = 243,199.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.