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Finding the Fourth Proportional to 187,196.52, 258,333.12 and 102,315

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Solution

The fourth proportional to 187,196.52, 258,333.12 and 102,315 is: 141,195.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,196.52 : 258,333.12 = 102,315 : x
  2. Step 2: Convert to fraction form
    187,196.52/258,333.12 = 102,315/x
  3. Step 3: Cross multiply
    187,196.52x = 258,333.12 × 102,315
  4. Step 4: Simplify right side
    187,196.52x = 26,431,353,172.80
  5. Step 5: Solve for x
    x = 26,431,353,172.80/187,196.52
  6. Step 6: Final answer
    x = 141,195.75

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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.