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Finding the Fourth Proportional to 219,567.32, 303,003.10 and 118,965.32

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Solution

The fourth proportional to 219,567.32, 303,003.10 and 118,965.32 is: 164,172.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,567.32 : 303,003.10 = 118,965.32 : x
  2. Step 2: Convert to fraction form
    219,567.32/303,003.10 = 118,965.32/x
  3. Step 3: Cross multiply
    219,567.32x = 303,003.10 × 118,965.32
  4. Step 4: Simplify right side
    219,567.32x = 36,046,858,642.65
  5. Step 5: Solve for x
    x = 36,046,858,642.65/219,567.32
  6. Step 6: Final answer
    x = 164,172.24

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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.