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Finding the Fourth Proportional to 200,778.60, 301,167.90 and 153,539.40

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Solution

The fourth proportional to 200,778.60, 301,167.90 and 153,539.40 is: 230,309.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,778.60 : 301,167.90 = 153,539.40 : x
  2. Step 2: Convert to fraction form
    200,778.60/301,167.90 = 153,539.40/x
  3. Step 3: Cross multiply
    200,778.60x = 301,167.90 × 153,539.40
  4. Step 4: Simplify right side
    200,778.60x = 46,241,138,665.26
  5. Step 5: Solve for x
    x = 46,241,138,665.26/200,778.60
  6. Step 6: Final answer
    x = 230,309.10

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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.