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Finding the Fourth Proportional to 187,261.65, 258,421.82 and 102,380.13

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Solution

The fourth proportional to 187,261.65, 258,421.82 and 102,380.13 is: 141,284.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,261.65 : 258,421.82 = 102,380.13 : x
  2. Step 2: Convert to fraction form
    187,261.65/258,421.82 = 102,380.13/x
  3. Step 3: Cross multiply
    187,261.65x = 258,421.82 × 102,380.13
  4. Step 4: Simplify right side
    187,261.65x = 26,457,259,014.54
  5. Step 5: Solve for x
    x = 26,457,259,014.54/187,261.65
  6. Step 6: Final answer
    x = 141,284.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.