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Finding the Fourth Proportional to 163,672, 225,867.60 and 96,604

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Solution

The fourth proportional to 163,672, 225,867.60 and 96,604 is: 133,313.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,672 : 225,867.60 = 96,604 : x
  2. Step 2: Convert to fraction form
    163,672/225,867.60 = 96,604/x
  3. Step 3: Cross multiply
    163,672x = 225,867.60 × 96,604
  4. Step 4: Simplify right side
    163,672x = 21,819,713,630.40
  5. Step 5: Solve for x
    x = 21,819,713,630.40/163,672
  6. Step 6: Final answer
    x = 133,313.66

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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.