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Finding the Fourth Proportional to 190,789, 263,275.64 and 105,899.38

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Solution

The fourth proportional to 190,789, 263,275.64 and 105,899.38 is: 146,133.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,789 : 263,275.64 = 105,899.38 : x
  2. Step 2: Convert to fraction form
    190,789/263,275.64 = 105,899.38/x
  3. Step 3: Cross multiply
    190,789x = 263,275.64 × 105,899.38
  4. Step 4: Simplify right side
    190,789x = 27,880,727,045.10
  5. Step 5: Solve for x
    x = 27,880,727,045.10/190,789
  6. Step 6: Final answer
    x = 146,133.83

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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.