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Finding the Fourth Proportional to 302,026.50, 416,787.75 and 166,060.30

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Solution

The fourth proportional to 302,026.50, 416,787.75 and 166,060.30 is: 229,158.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,026.50 : 416,787.75 = 166,060.30 : x
  2. Step 2: Convert to fraction form
    302,026.50/416,787.75 = 166,060.30/x
  3. Step 3: Cross multiply
    302,026.50x = 416,787.75 × 166,060.30
  4. Step 4: Simplify right side
    302,026.50x = 69,211,898,801.33
  5. Step 5: Solve for x
    x = 69,211,898,801.33/302,026.50
  6. Step 6: Final answer
    x = 229,158.36

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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.