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Finding the Fourth Proportional to 219,124.98, 302,406.30 and 123,596.82

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Solution

The fourth proportional to 219,124.98, 302,406.30 and 123,596.82 is: 170,571.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,124.98 : 302,406.30 = 123,596.82 : x
  2. Step 2: Convert to fraction form
    219,124.98/302,406.30 = 123,596.82/x
  3. Step 3: Cross multiply
    219,124.98x = 302,406.30 × 123,596.82
  4. Step 4: Simplify right side
    219,124.98x = 37,376,457,027.97
  5. Step 5: Solve for x
    x = 37,376,457,027.97/219,124.98
  6. Step 6: Final answer
    x = 170,571.41

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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.