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Finding the Fourth Proportional to 140,553.49, 210,899.49 and 65,678.81

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Solution

The fourth proportional to 140,553.49, 210,899.49 and 65,678.81 is: 98,550.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,553.49 : 210,899.49 = 65,678.81 : x
  2. Step 2: Convert to fraction form
    140,553.49/210,899.49 = 65,678.81/x
  3. Step 3: Cross multiply
    140,553.49x = 210,899.49 × 65,678.81
  4. Step 4: Simplify right side
    140,553.49x = 13,851,627,532.81
  5. Step 5: Solve for x
    x = 13,851,627,532.81/140,553.49
  6. Step 6: Final answer
    x = 98,550.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.