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Finding the Fourth Proportional to 206,802.02, 310,224.60 and 57,042.33

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Solution

The fourth proportional to 206,802.02, 310,224.60 and 57,042.33 is: 85,569.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,802.02 : 310,224.60 = 57,042.33 : x
  2. Step 2: Convert to fraction form
    206,802.02/310,224.60 = 57,042.33/x
  3. Step 3: Cross multiply
    206,802.02x = 310,224.60 × 57,042.33
  4. Step 4: Simplify right side
    206,802.02x = 17,695,934,007.32
  5. Step 5: Solve for x
    x = 17,695,934,007.32/206,802.02
  6. Step 6: Final answer
    x = 85,569.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.