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Finding the Fourth Proportional to 289,030.89, 398,862.97 and 161,706.58

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Solution

The fourth proportional to 289,030.89, 398,862.97 and 161,706.58 is: 223,155.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,030.89 : 398,862.97 = 161,706.58 : x
  2. Step 2: Convert to fraction form
    289,030.89/398,862.97 = 161,706.58/x
  3. Step 3: Cross multiply
    289,030.89x = 398,862.97 × 161,706.58
  4. Step 4: Simplify right side
    289,030.89x = 64,498,766,767.34
  5. Step 5: Solve for x
    x = 64,498,766,767.34/289,030.89
  6. Step 6: Final answer
    x = 223,155.27

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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.