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Finding the Fourth Proportional to 102,625.84, 141,721.47 and 97,034.71

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Solution

The fourth proportional to 102,625.84, 141,721.47 and 97,034.71 is: 134,000.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,625.84 : 141,721.47 = 97,034.71 : x
  2. Step 2: Convert to fraction form
    102,625.84/141,721.47 = 97,034.71/x
  3. Step 3: Cross multiply
    102,625.84x = 141,721.47 × 97,034.71
  4. Step 4: Simplify right side
    102,625.84x = 13,751,901,926.56
  5. Step 5: Solve for x
    x = 13,751,901,926.56/102,625.84
  6. Step 6: Final answer
    x = 134,000.39

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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.