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Finding the Fourth Proportional to 172,584, 258,502.08 and 83,651.46

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Solution

The fourth proportional to 172,584, 258,502.08 and 83,651.46 is: 125,295.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,584 : 258,502.08 = 83,651.46 : x
  2. Step 2: Convert to fraction form
    172,584/258,502.08 = 83,651.46/x
  3. Step 3: Cross multiply
    172,584x = 258,502.08 × 83,651.46
  4. Step 4: Simplify right side
    172,584x = 21,624,076,405.04
  5. Step 5: Solve for x
    x = 21,624,076,405.04/172,584
  6. Step 6: Final answer
    x = 125,295.95

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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.