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Finding the Fourth Proportional to 141,122.22, 194,751.18 and 77,465.94

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Solution

The fourth proportional to 141,122.22, 194,751.18 and 77,465.94 is: 106,904.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,122.22 : 194,751.18 = 77,465.94 : x
  2. Step 2: Convert to fraction form
    141,122.22/194,751.18 = 77,465.94/x
  3. Step 3: Cross multiply
    141,122.22x = 194,751.18 × 77,465.94
  4. Step 4: Simplify right side
    141,122.22x = 15,086,583,224.81
  5. Step 5: Solve for x
    x = 15,086,583,224.81/141,122.22
  6. Step 6: Final answer
    x = 106,904.38

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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.