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Finding the Fourth Proportional to 258,857.96, 357,154.22 and 151,454.38

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Solution

The fourth proportional to 258,857.96, 357,154.22 and 151,454.38 is: 208,966.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,857.96 : 357,154.22 = 151,454.38 : x
  2. Step 2: Convert to fraction form
    258,857.96/357,154.22 = 151,454.38/x
  3. Step 3: Cross multiply
    258,857.96x = 357,154.22 × 151,454.38
  4. Step 4: Simplify right side
    258,857.96x = 54,092,570,954.48
  5. Step 5: Solve for x
    x = 54,092,570,954.48/258,857.96
  6. Step 6: Final answer
    x = 208,966.23

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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.