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Finding the Fourth Proportional to 128,022.16, 176,653.02 and 71,422.60

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Solution

The fourth proportional to 128,022.16, 176,653.02 and 71,422.60 is: 98,553.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,022.16 : 176,653.02 = 71,422.60 : x
  2. Step 2: Convert to fraction form
    128,022.16/176,653.02 = 71,422.60/x
  3. Step 3: Cross multiply
    128,022.16x = 176,653.02 × 71,422.60
  4. Step 4: Simplify right side
    128,022.16x = 12,617,017,986.25
  5. Step 5: Solve for x
    x = 12,617,017,986.25/128,022.16
  6. Step 6: Final answer
    x = 98,553.39

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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.