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Finding the Fourth Proportional to 380,123.20, 570,187.20 and 99,638

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Solution

The fourth proportional to 380,123.20, 570,187.20 and 99,638 is: 149,457.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,123.20 : 570,187.20 = 99,638 : x
  2. Step 2: Convert to fraction form
    380,123.20/570,187.20 = 99,638/x
  3. Step 3: Cross multiply
    380,123.20x = 570,187.20 × 99,638
  4. Step 4: Simplify right side
    380,123.20x = 56,812,312,233.60
  5. Step 5: Solve for x
    x = 56,812,312,233.60/380,123.20
  6. Step 6: Final answer
    x = 149,457.63

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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.