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Finding the Fourth Proportional to 141,159.43, 194,797.59 and 77,496.77

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Solution

The fourth proportional to 141,159.43, 194,797.59 and 77,496.77 is: 106,944.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,159.43 : 194,797.59 = 77,496.77 : x
  2. Step 2: Convert to fraction form
    141,159.43/194,797.59 = 77,496.77/x
  3. Step 3: Cross multiply
    141,159.43x = 194,797.59 × 77,496.77
  4. Step 4: Simplify right side
    141,159.43x = 15,096,184,225.17
  5. Step 5: Solve for x
    x = 15,096,184,225.17/141,159.43
  6. Step 6: Final answer
    x = 106,944.21

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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.