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Finding the Fourth Proportional to 219,248.64, 302,310.90 and 161,970.84

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Solution

The fourth proportional to 219,248.64, 302,310.90 and 161,970.84 is: 223,333.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,248.64 : 302,310.90 = 161,970.84 : x
  2. Step 2: Convert to fraction form
    219,248.64/302,310.90 = 161,970.84/x
  3. Step 3: Cross multiply
    219,248.64x = 302,310.90 × 161,970.84
  4. Step 4: Simplify right side
    219,248.64x = 48,965,550,414.16
  5. Step 5: Solve for x
    x = 48,965,550,414.16/219,248.64
  6. Step 6: Final answer
    x = 223,333.43

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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.