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Finding the Fourth Proportional to 219,644.16, 303,109.20 and 119,042.16

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Solution

The fourth proportional to 219,644.16, 303,109.20 and 119,042.16 is: 164,278.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,644.16 : 303,109.20 = 119,042.16 : x
  2. Step 2: Convert to fraction form
    219,644.16/303,109.20 = 119,042.16/x
  3. Step 3: Cross multiply
    219,644.16x = 303,109.20 × 119,042.16
  4. Step 4: Simplify right side
    219,644.16x = 36,082,773,883.87
  5. Step 5: Solve for x
    x = 36,082,773,883.87/219,644.16
  6. Step 6: Final answer
    x = 164,278.32

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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.