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Finding the Fourth Proportional to 152,405.46, 210,321.21 and 84,423.45

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Solution

The fourth proportional to 152,405.46, 210,321.21 and 84,423.45 is: 116,505.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,405.46 : 210,321.21 = 84,423.45 : x
  2. Step 2: Convert to fraction form
    152,405.46/210,321.21 = 84,423.45/x
  3. Step 3: Cross multiply
    152,405.46x = 210,321.21 × 84,423.45
  4. Step 4: Simplify right side
    152,405.46x = 17,756,042,156.37
  5. Step 5: Solve for x
    x = 17,756,042,156.37/152,405.46
  6. Step 6: Final answer
    x = 116,505.29

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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.