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Finding the Fourth Proportional to 154,467.80, 231,701.70 and 121,290.20

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Solution

The fourth proportional to 154,467.80, 231,701.70 and 121,290.20 is: 181,935.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,467.80 : 231,701.70 = 121,290.20 : x
  2. Step 2: Convert to fraction form
    154,467.80/231,701.70 = 121,290.20/x
  3. Step 3: Cross multiply
    154,467.80x = 231,701.70 × 121,290.20
  4. Step 4: Simplify right side
    154,467.80x = 28,103,145,533.34
  5. Step 5: Solve for x
    x = 28,103,145,533.34/154,467.80
  6. Step 6: Final answer
    x = 181,935.30

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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.