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Finding the Fourth Proportional to 141,090.17, 194,706.81 and 77,433.89

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Solution

The fourth proportional to 141,090.17, 194,706.81 and 77,433.89 is: 106,860.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,090.17 : 194,706.81 = 77,433.89 : x
  2. Step 2: Convert to fraction form
    141,090.17/194,706.81 = 77,433.89/x
  3. Step 3: Cross multiply
    141,090.17x = 194,706.81 × 77,433.89
  4. Step 4: Simplify right side
    141,090.17x = 15,076,904,734.26
  5. Step 5: Solve for x
    x = 15,076,904,734.26/141,090.17
  6. Step 6: Final answer
    x = 106,860.07

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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.