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Finding the Fourth Proportional to 176,673.68, 243,723.84 and 105,003

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Solution

The fourth proportional to 176,673.68, 243,723.84 and 105,003 is: 144,853.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,673.68 : 243,723.84 = 105,003 : x
  2. Step 2: Convert to fraction form
    176,673.68/243,723.84 = 105,003/x
  3. Step 3: Cross multiply
    176,673.68x = 243,723.84 × 105,003
  4. Step 4: Simplify right side
    176,673.68x = 25,591,734,371.52
  5. Step 5: Solve for x
    x = 25,591,734,371.52/176,673.68
  6. Step 6: Final answer
    x = 144,853.12

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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.