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Finding the Fourth Proportional to 141,160.42, 194,801.71 and 77,502.32

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Solution

The fourth proportional to 141,160.42, 194,801.71 and 77,502.32 is: 106,953.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,160.42 : 194,801.71 = 77,502.32 : x
  2. Step 2: Convert to fraction form
    141,160.42/194,801.71 = 77,502.32/x
  3. Step 3: Cross multiply
    141,160.42x = 194,801.71 × 77,502.32
  4. Step 4: Simplify right side
    141,160.42x = 15,097,584,173.03
  5. Step 5: Solve for x
    x = 15,097,584,173.03/141,160.42
  6. Step 6: Final answer
    x = 106,953.38

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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.