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Finding the Fourth Proportional to 194,954.76, 269,038.41 and 105,530.76

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Solution

The fourth proportional to 194,954.76, 269,038.41 and 105,530.76 is: 145,632.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,954.76 : 269,038.41 = 105,530.76 : x
  2. Step 2: Convert to fraction form
    194,954.76/269,038.41 = 105,530.76/x
  3. Step 3: Cross multiply
    194,954.76x = 269,038.41 × 105,530.76
  4. Step 4: Simplify right side
    194,954.76x = 28,391,827,876.49
  5. Step 5: Solve for x
    x = 28,391,827,876.49/194,954.76
  6. Step 6: Final answer
    x = 145,632.90

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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.