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Finding the Fourth Proportional to 140,666.49, 194,120.28 and 77,010.21

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Solution

The fourth proportional to 140,666.49, 194,120.28 and 77,010.21 is: 106,274.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,666.49 : 194,120.28 = 77,010.21 : x
  2. Step 2: Convert to fraction form
    140,666.49/194,120.28 = 77,010.21/x
  3. Step 3: Cross multiply
    140,666.49x = 194,120.28 × 77,010.21
  4. Step 4: Simplify right side
    140,666.49x = 14,949,243,528.06
  5. Step 5: Solve for x
    x = 14,949,243,528.06/140,666.49
  6. Step 6: Final answer
    x = 106,274.38

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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.