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Finding the Fourth Proportional to 288,520.20, 432,434.70 and 148,206.60

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Solution

The fourth proportional to 288,520.20, 432,434.70 and 148,206.60 is: 222,132.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,520.20 : 432,434.70 = 148,206.60 : x
  2. Step 2: Convert to fraction form
    288,520.20/432,434.70 = 148,206.60/x
  3. Step 3: Cross multiply
    288,520.20x = 432,434.70 × 148,206.60
  4. Step 4: Simplify right side
    288,520.20x = 64,089,676,609.02
  5. Step 5: Solve for x
    x = 64,089,676,609.02/288,520.20
  6. Step 6: Final answer
    x = 222,132.37

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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.