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Finding the Fourth Proportional to 160,824, 221,937.30 and 93,768.96

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Solution

The fourth proportional to 160,824, 221,937.30 and 93,768.96 is: 129,401.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,824 : 221,937.30 = 93,768.96 : x
  2. Step 2: Convert to fraction form
    160,824/221,937.30 = 93,768.96/x
  3. Step 3: Cross multiply
    160,824x = 221,937.30 × 93,768.96
  4. Step 4: Simplify right side
    160,824x = 20,810,829,806.21
  5. Step 5: Solve for x
    x = 20,810,829,806.21/160,824
  6. Step 6: Final answer
    x = 129,401.27

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1.5x scale

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.