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Finding the Fourth Proportional to 219,016.94, 302,243.34 and 118,414.94

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Solution

The fourth proportional to 219,016.94, 302,243.34 and 118,414.94 is: 163,412.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,016.94 : 302,243.34 = 118,414.94 : x
  2. Step 2: Convert to fraction form
    219,016.94/302,243.34 = 118,414.94/x
  3. Step 3: Cross multiply
    219,016.94x = 302,243.34 × 118,414.94
  4. Step 4: Simplify right side
    219,016.94x = 35,790,125,460.28
  5. Step 5: Solve for x
    x = 35,790,125,460.28/219,016.94
  6. Step 6: Final answer
    x = 163,412.59

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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.