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Finding the Fourth Proportional to 187,354, 258,548.52 and 102,471.06

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Solution

The fourth proportional to 187,354, 258,548.52 and 102,471.06 is: 141,410.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,354 : 258,548.52 = 102,471.06 : x
  2. Step 2: Convert to fraction form
    187,354/258,548.52 = 102,471.06/x
  3. Step 3: Cross multiply
    187,354x = 258,548.52 × 102,471.06
  4. Step 4: Simplify right side
    187,354x = 26,493,740,905.83
  5. Step 5: Solve for x
    x = 26,493,740,905.83/187,354
  6. Step 6: Final answer
    x = 141,410.06

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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.