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Finding the Fourth Proportional to 160,632.54, 221,674.21 and 89,013.76

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Solution

The fourth proportional to 160,632.54, 221,674.21 and 89,013.76 is: 122,839.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,632.54 : 221,674.21 = 89,013.76 : x
  2. Step 2: Convert to fraction form
    160,632.54/221,674.21 = 89,013.76/x
  3. Step 3: Cross multiply
    160,632.54x = 221,674.21 × 89,013.76
  4. Step 4: Simplify right side
    160,632.54x = 19,732,054,927.13
  5. Step 5: Solve for x
    x = 19,732,054,927.13/160,632.54
  6. Step 6: Final answer
    x = 122,839.71

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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.