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Finding the Fourth Proportional to 152,043.89, 209,811.53 and 84,056.80

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Solution

The fourth proportional to 152,043.89, 209,811.53 and 84,056.80 is: 115,993.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,043.89 : 209,811.53 = 84,056.80 : x
  2. Step 2: Convert to fraction form
    152,043.89/209,811.53 = 84,056.80/x
  3. Step 3: Cross multiply
    152,043.89x = 209,811.53 × 84,056.80
  4. Step 4: Simplify right side
    152,043.89x = 17,636,085,343.32
  5. Step 5: Solve for x
    x = 17,636,085,343.32/152,043.89
  6. Step 6: Final answer
    x = 115,993.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.