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Finding the Fourth Proportional to 141,345, 195,043.95 and 83,195.57

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Solution

The fourth proportional to 141,345, 195,043.95 and 83,195.57 is: 114,802.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,345 : 195,043.95 = 83,195.57 : x
  2. Step 2: Convert to fraction form
    141,345/195,043.95 = 83,195.57/x
  3. Step 3: Cross multiply
    141,345x = 195,043.95 × 83,195.57
  4. Step 4: Simplify right side
    141,345x = 16,226,793,082.91
  5. Step 5: Solve for x
    x = 16,226,793,082.91/141,345
  6. Step 6: Final answer
    x = 114,802.74

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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.