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Finding the Fourth Proportional to 152,193.80, 210,033.64 and 84,209.70

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Solution

The fourth proportional to 152,193.80, 210,033.64 and 84,209.70 is: 116,212.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,193.80 : 210,033.64 = 84,209.70 : x
  2. Step 2: Convert to fraction form
    152,193.80/210,033.64 = 84,209.70/x
  3. Step 3: Cross multiply
    152,193.80x = 210,033.64 × 84,209.70
  4. Step 4: Simplify right side
    152,193.80x = 17,686,869,814.31
  5. Step 5: Solve for x
    x = 17,686,869,814.31/152,193.80
  6. Step 6: Final answer
    x = 116,212.81

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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.