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Finding the Fourth Proportional to 187,325.76, 258,511.59 and 102,441

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Solution

The fourth proportional to 187,325.76, 258,511.59 and 102,441 is: 141,369.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,325.76 : 258,511.59 = 102,441 : x
  2. Step 2: Convert to fraction form
    187,325.76/258,511.59 = 102,441/x
  3. Step 3: Cross multiply
    187,325.76x = 258,511.59 × 102,441
  4. Step 4: Simplify right side
    187,325.76x = 26,482,185,791.19
  5. Step 5: Solve for x
    x = 26,482,185,791.19/187,325.76
  6. Step 6: Final answer
    x = 141,369.70

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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.