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Finding the Fourth Proportional to 258,849.37, 357,261.67 and 156,930.38

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Solution

The fourth proportional to 258,849.37, 357,261.67 and 156,930.38 is: 216,593.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,849.37 : 357,261.67 = 156,930.38 : x
  2. Step 2: Convert to fraction form
    258,849.37/357,261.67 = 156,930.38/x
  3. Step 3: Cross multiply
    258,849.37x = 357,261.67 × 156,930.38
  4. Step 4: Simplify right side
    258,849.37x = 56,065,209,632.53
  5. Step 5: Solve for x
    x = 56,065,209,632.53/258,849.37
  6. Step 6: Final answer
    x = 216,593.96

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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.