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Finding the Fourth Proportional to 312,132.58, 430,748.49 and 176,193.70

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Solution

The fourth proportional to 312,132.58, 430,748.49 and 176,193.70 is: 243,150.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,132.58 : 430,748.49 = 176,193.70 : x
  2. Step 2: Convert to fraction form
    312,132.58/430,748.49 = 176,193.70/x
  3. Step 3: Cross multiply
    312,132.58x = 430,748.49 × 176,193.70
  4. Step 4: Simplify right side
    312,132.58x = 75,895,170,222.51
  5. Step 5: Solve for x
    x = 75,895,170,222.51/312,132.58
  6. Step 6: Final answer
    x = 243,150.43

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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.