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Finding the Fourth Proportional to 141,086.64, 194,693.16 and 77,423.16

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Solution

The fourth proportional to 141,086.64, 194,693.16 and 77,423.16 is: 106,840.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,086.64 : 194,693.16 = 77,423.16 : x
  2. Step 2: Convert to fraction form
    141,086.64/194,693.16 = 77,423.16/x
  3. Step 3: Cross multiply
    141,086.64x = 194,693.16 × 77,423.16
  4. Step 4: Simplify right side
    141,086.64x = 15,073,759,677.59
  5. Step 5: Solve for x
    x = 15,073,759,677.59/141,086.64
  6. Step 6: Final answer
    x = 106,840.45

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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.