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Finding the Fourth Proportional to 187,237, 258,387.08 and 102,354.68

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Solution

The fourth proportional to 187,237, 258,387.08 and 102,354.68 is: 141,249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,237 : 258,387.08 = 102,354.68 : x
  2. Step 2: Convert to fraction form
    187,237/258,387.08 = 102,354.68/x
  3. Step 3: Cross multiply
    187,237x = 258,387.08 × 102,354.68
  4. Step 4: Simplify right side
    187,237x = 26,447,126,889.53
  5. Step 5: Solve for x
    x = 26,447,126,889.53/187,237
  6. Step 6: Final answer
    x = 141,249.47

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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.