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Finding the Fourth Proportional to 141,095.22, 194,707 and 77,431.38

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Solution

The fourth proportional to 141,095.22, 194,707 and 77,431.38 is: 106,852.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,095.22 : 194,707 = 77,431.38 : x
  2. Step 2: Convert to fraction form
    141,095.22/194,707 = 77,431.38/x
  3. Step 3: Cross multiply
    141,095.22x = 194,707 × 77,431.38
  4. Step 4: Simplify right side
    141,095.22x = 15,076,431,705.66
  5. Step 5: Solve for x
    x = 15,076,431,705.66/141,095.22
  6. Step 6: Final answer
    x = 106,852.89

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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.