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Finding the Fourth Proportional to 105,241.87, 157,864.02 and 30,363.45

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Solution

The fourth proportional to 105,241.87, 157,864.02 and 30,363.45 is: 45,545.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,241.87 : 157,864.02 = 30,363.45 : x
  2. Step 2: Convert to fraction form
    105,241.87/157,864.02 = 30,363.45/x
  3. Step 3: Cross multiply
    105,241.87x = 157,864.02 × 30,363.45
  4. Step 4: Simplify right side
    105,241.87x = 4,793,296,278.07
  5. Step 5: Solve for x
    x = 4,793,296,278.07/105,241.87
  6. Step 6: Final answer
    x = 45,545.53

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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.