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Finding the Fourth Proportional to 141,210, 194,887.08 and 81,594

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Solution

The fourth proportional to 141,210, 194,887.08 and 81,594 is: 112,609.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,210 : 194,887.08 = 81,594 : x
  2. Step 2: Convert to fraction form
    141,210/194,887.08 = 81,594/x
  3. Step 3: Cross multiply
    141,210x = 194,887.08 × 81,594
  4. Step 4: Simplify right side
    141,210x = 15,901,616,405.52
  5. Step 5: Solve for x
    x = 15,901,616,405.52/141,210
  6. Step 6: Final answer
    x = 112,609.70

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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.