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Finding the Fourth Proportional to 125,546, 173,268.84 and 72,554

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Solution

The fourth proportional to 125,546, 173,268.84 and 72,554 is: 100,133.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,546 : 173,268.84 = 72,554 : x
  2. Step 2: Convert to fraction form
    125,546/173,268.84 = 72,554/x
  3. Step 3: Cross multiply
    125,546x = 173,268.84 × 72,554
  4. Step 4: Simplify right side
    125,546x = 12,571,347,417.36
  5. Step 5: Solve for x
    x = 12,571,347,417.36/125,546
  6. Step 6: Final answer
    x = 100,133.40

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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.