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Finding the Fourth Proportional to 219,963.06, 303,547.50 and 119,361.06

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Solution

The fourth proportional to 219,963.06, 303,547.50 and 119,361.06 is: 164,717.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,963.06 : 303,547.50 = 119,361.06 : x
  2. Step 2: Convert to fraction form
    219,963.06/303,547.50 = 119,361.06/x
  3. Step 3: Cross multiply
    219,963.06x = 303,547.50 × 119,361.06
  4. Step 4: Simplify right side
    219,963.06x = 36,231,751,360.35
  5. Step 5: Solve for x
    x = 36,231,751,360.35/219,963.06
  6. Step 6: Final answer
    x = 164,717.44

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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.