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Finding the Fourth Proportional to 267,174.96, 368,702.63 and 146,317.09

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Solution

The fourth proportional to 267,174.96, 368,702.63 and 146,317.09 is: 201,918.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,174.96 : 368,702.63 = 146,317.09 : x
  2. Step 2: Convert to fraction form
    267,174.96/368,702.63 = 146,317.09/x
  3. Step 3: Cross multiply
    267,174.96x = 368,702.63 × 146,317.09
  4. Step 4: Simplify right side
    267,174.96x = 53,947,495,483.61
  5. Step 5: Solve for x
    x = 53,947,495,483.61/267,174.96
  6. Step 6: Final answer
    x = 201,918.23

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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.