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Finding the Fourth Proportional to 141,253, 194,946.47 and 81,637

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Solution

The fourth proportional to 141,253, 194,946.47 and 81,637 is: 112,669.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,253 : 194,946.47 = 81,637 : x
  2. Step 2: Convert to fraction form
    141,253/194,946.47 = 81,637/x
  3. Step 3: Cross multiply
    141,253x = 194,946.47 × 81,637
  4. Step 4: Simplify right side
    141,253x = 15,914,844,971.39
  5. Step 5: Solve for x
    x = 15,914,844,971.39/141,253
  6. Step 6: Final answer
    x = 112,669.08

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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.