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Finding the Fourth Proportional to 219,273.94, 302,606.73 and 123,783.94

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Solution

The fourth proportional to 219,273.94, 302,606.73 and 123,783.94 is: 170,826.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,273.94 : 302,606.73 = 123,783.94 : x
  2. Step 2: Convert to fraction form
    219,273.94/302,606.73 = 123,783.94/x
  3. Step 3: Cross multiply
    219,273.94x = 302,606.73 × 123,783.94
  4. Step 4: Simplify right side
    219,273.94x = 37,457,853,309.92
  5. Step 5: Solve for x
    x = 37,457,853,309.92/219,273.94
  6. Step 6: Final answer
    x = 170,826.74

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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.