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Finding the Fourth Proportional to 137,335.80, 206,003.70 and 97,477.73

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Solution

The fourth proportional to 137,335.80, 206,003.70 and 97,477.73 is: 146,216.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,335.80 : 206,003.70 = 97,477.73 : x
  2. Step 2: Convert to fraction form
    137,335.80/206,003.70 = 97,477.73/x
  3. Step 3: Cross multiply
    137,335.80x = 206,003.70 × 97,477.73
  4. Step 4: Simplify right side
    137,335.80x = 20,080,772,017.58
  5. Step 5: Solve for x
    x = 20,080,772,017.58/137,335.80
  6. Step 6: Final answer
    x = 146,216.59

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1.5x scale

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.