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Finding the Fourth Proportional to 166,903.50, 230,326.83 and 99,835.50

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Solution

The fourth proportional to 166,903.50, 230,326.83 and 99,835.50 is: 137,772.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,903.50 : 230,326.83 = 99,835.50 : x
  2. Step 2: Convert to fraction form
    166,903.50/230,326.83 = 99,835.50/x
  3. Step 3: Cross multiply
    166,903.50x = 230,326.83 × 99,835.50
  4. Step 4: Simplify right side
    166,903.50x = 22,994,794,236.47
  5. Step 5: Solve for x
    x = 22,994,794,236.47/166,903.50
  6. Step 6: Final answer
    x = 137,772.99

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1.5x scale

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.