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Finding the Fourth Proportional to 160,674.72, 221,723.10 and 89,054.10

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Solution

The fourth proportional to 160,674.72, 221,723.10 and 89,054.10 is: 122,890.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,674.72 : 221,723.10 = 89,054.10 : x
  2. Step 2: Convert to fraction form
    160,674.72/221,723.10 = 89,054.10/x
  3. Step 3: Cross multiply
    160,674.72x = 221,723.10 × 89,054.10
  4. Step 4: Simplify right side
    160,674.72x = 19,745,351,119.71
  5. Step 5: Solve for x
    x = 19,745,351,119.71/160,674.72
  6. Step 6: Final answer
    x = 122,890.22

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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.