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Finding the Fourth Proportional to 144,022.40, 216,033.60 and 135,857.60

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Solution

The fourth proportional to 144,022.40, 216,033.60 and 135,857.60 is: 203,786.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,022.40 : 216,033.60 = 135,857.60 : x
  2. Step 2: Convert to fraction form
    144,022.40/216,033.60 = 135,857.60/x
  3. Step 3: Cross multiply
    144,022.40x = 216,033.60 × 135,857.60
  4. Step 4: Simplify right side
    144,022.40x = 29,349,806,415.36
  5. Step 5: Solve for x
    x = 29,349,806,415.36/144,022.40
  6. Step 6: Final answer
    x = 203,786.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.