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Finding the Fourth Proportional to 141,156.62, 194,796.45 and 77,498.51

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Solution

The fourth proportional to 141,156.62, 194,796.45 and 77,498.51 is: 106,948.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,156.62 : 194,796.45 = 77,498.51 : x
  2. Step 2: Convert to fraction form
    141,156.62/194,796.45 = 77,498.51/x
  3. Step 3: Cross multiply
    141,156.62x = 194,796.45 × 77,498.51
  4. Step 4: Simplify right side
    141,156.62x = 15,096,434,628.29
  5. Step 5: Solve for x
    x = 15,096,434,628.29/141,156.62
  6. Step 6: Final answer
    x = 106,948.12

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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.