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Finding the Fourth Proportional to 152,204.97, 210,043.11 and 84,224.81

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Solution

The fourth proportional to 152,204.97, 210,043.11 and 84,224.81 is: 116,230.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,204.97 : 210,043.11 = 84,224.81 : x
  2. Step 2: Convert to fraction form
    152,204.97/210,043.11 = 84,224.81/x
  3. Step 3: Cross multiply
    152,204.97x = 210,043.11 × 84,224.81
  4. Step 4: Simplify right side
    152,204.97x = 17,690,839,981.34
  5. Step 5: Solve for x
    x = 17,690,839,981.34/152,204.97
  6. Step 6: Final answer
    x = 116,230.37

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1.5x scale

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.