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Finding the Fourth Proportional to 160,821.80, 241,491.90 and 121,423.40

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Solution

The fourth proportional to 160,821.80, 241,491.90 and 121,423.40 is: 182,330.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,821.80 : 241,491.90 = 121,423.40 : x
  2. Step 2: Convert to fraction form
    160,821.80/241,491.90 = 121,423.40/x
  3. Step 3: Cross multiply
    160,821.80x = 241,491.90 × 121,423.40
  4. Step 4: Simplify right side
    160,821.80x = 29,322,767,570.46
  5. Step 5: Solve for x
    x = 29,322,767,570.46/160,821.80
  6. Step 6: Final answer
    x = 182,330.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.