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Finding the Fourth Proportional to 140,965.38, 194,532.03 and 77,303.16

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Solution

The fourth proportional to 140,965.38, 194,532.03 and 77,303.16 is: 106,678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,965.38 : 194,532.03 = 77,303.16 : x
  2. Step 2: Convert to fraction form
    140,965.38/194,532.03 = 77,303.16/x
  3. Step 3: Cross multiply
    140,965.38x = 194,532.03 × 77,303.16
  4. Step 4: Simplify right side
    140,965.38x = 15,037,940,640.21
  5. Step 5: Solve for x
    x = 15,037,940,640.21/140,965.38
  6. Step 6: Final answer
    x = 106,678.25

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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.