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Finding the Fourth Proportional to 152,405.44, 210,321.20 and 84,423.46

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Solution

The fourth proportional to 152,405.44, 210,321.20 and 84,423.46 is: 116,505.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,405.44 : 210,321.20 = 84,423.46 : x
  2. Step 2: Convert to fraction form
    152,405.44/210,321.20 = 84,423.46/x
  3. Step 3: Cross multiply
    152,405.44x = 210,321.20 × 84,423.46
  4. Step 4: Simplify right side
    152,405.44x = 17,756,043,415.35
  5. Step 5: Solve for x
    x = 17,756,043,415.35/152,405.44
  6. Step 6: Final answer
    x = 116,505.31

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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.