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Finding the Fourth Proportional to 219,616.32, 303,062.40 and 119,012.16

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Solution

The fourth proportional to 219,616.32, 303,062.40 and 119,012.16 is: 164,232.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,616.32 : 303,062.40 = 119,012.16 : x
  2. Step 2: Convert to fraction form
    219,616.32/303,062.40 = 119,012.16/x
  3. Step 3: Cross multiply
    219,616.32x = 303,062.40 × 119,012.16
  4. Step 4: Simplify right side
    219,616.32x = 36,068,110,838.78
  5. Step 5: Solve for x
    x = 36,068,110,838.78/219,616.32
  6. Step 6: Final answer
    x = 164,232.38

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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.