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Finding the Fourth Proportional to 202,693.67, 304,090.05 and 142,838.89

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Solution

The fourth proportional to 202,693.67, 304,090.05 and 142,838.89 is: 214,293.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,693.67 : 304,090.05 = 142,838.89 : x
  2. Step 2: Convert to fraction form
    202,693.67/304,090.05 = 142,838.89/x
  3. Step 3: Cross multiply
    202,693.67x = 304,090.05 × 142,838.89
  4. Step 4: Simplify right side
    202,693.67x = 43,435,885,884.50
  5. Step 5: Solve for x
    x = 43,435,885,884.50/202,693.67
  6. Step 6: Final answer
    x = 214,293.26

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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.