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Finding the Fourth Proportional to 187,420.80, 258,640.38 and 102,537.66

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Solution

The fourth proportional to 187,420.80, 258,640.38 and 102,537.66 is: 141,501.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,420.80 : 258,640.38 = 102,537.66 : x
  2. Step 2: Convert to fraction form
    187,420.80/258,640.38 = 102,537.66/x
  3. Step 3: Cross multiply
    187,420.80x = 258,640.38 × 102,537.66
  4. Step 4: Simplify right side
    187,420.80x = 26,520,379,346.71
  5. Step 5: Solve for x
    x = 26,520,379,346.71/187,420.80
  6. Step 6: Final answer
    x = 141,501.79

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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.