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Finding the Fourth Proportional to 208,133.34, 287,223.99 and 112,640.06

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Solution

The fourth proportional to 208,133.34, 287,223.99 and 112,640.06 is: 155,443.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,133.34 : 287,223.99 = 112,640.06 : x
  2. Step 2: Convert to fraction form
    208,133.34/287,223.99 = 112,640.06/x
  3. Step 3: Cross multiply
    208,133.34x = 287,223.99 × 112,640.06
  4. Step 4: Simplify right side
    208,133.34x = 32,352,927,467.04
  5. Step 5: Solve for x
    x = 32,352,927,467.04/208,133.34
  6. Step 6: Final answer
    x = 155,443.27

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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.