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Finding the Fourth Proportional to 141,009, 194,592.42 and 77,346.95

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Solution

The fourth proportional to 141,009, 194,592.42 and 77,346.95 is: 106,738.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,009 : 194,592.42 = 77,346.95 : x
  2. Step 2: Convert to fraction form
    141,009/194,592.42 = 77,346.95/x
  3. Step 3: Cross multiply
    141,009x = 194,592.42 × 77,346.95
  4. Step 4: Simplify right side
    141,009x = 15,051,129,207.16
  5. Step 5: Solve for x
    x = 15,051,129,207.16/141,009
  6. Step 6: Final answer
    x = 106,738.78

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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.