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Finding the Fourth Proportional to 141,026, 194,621.64 and 81,410

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Solution

The fourth proportional to 141,026, 194,621.64 and 81,410 is: 112,349.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,026 : 194,621.64 = 81,410 : x
  2. Step 2: Convert to fraction form
    141,026/194,621.64 = 81,410/x
  3. Step 3: Cross multiply
    141,026x = 194,621.64 × 81,410
  4. Step 4: Simplify right side
    141,026x = 15,844,147,712.40
  5. Step 5: Solve for x
    x = 15,844,147,712.40/141,026
  6. Step 6: Final answer
    x = 112,349.13

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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.