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Finding the Fourth Proportional to 152,231.60, 228,361.80 and 41,423.60

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Solution

The fourth proportional to 152,231.60, 228,361.80 and 41,423.60 is: 62,139.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,231.60 : 228,361.80 = 41,423.60 : x
  2. Step 2: Convert to fraction form
    152,231.60/228,361.80 = 41,423.60/x
  3. Step 3: Cross multiply
    152,231.60x = 228,361.80 × 41,423.60
  4. Step 4: Simplify right side
    152,231.60x = 9,459,567,858.48
  5. Step 5: Solve for x
    x = 9,459,567,858.48/152,231.60
  6. Step 6: Final answer
    x = 62,139.32

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Why These Related Problems?

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