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Finding the Fourth Proportional to 145,363.84, 200,545.14 and 107,214.96

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Solution

The fourth proportional to 145,363.84, 200,545.14 and 107,214.96 is: 147,914.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,363.84 : 200,545.14 = 107,214.96 : x
  2. Step 2: Convert to fraction form
    145,363.84/200,545.14 = 107,214.96/x
  3. Step 3: Cross multiply
    145,363.84x = 200,545.14 × 107,214.96
  4. Step 4: Simplify right side
    145,363.84x = 21,501,439,163.29
  5. Step 5: Solve for x
    x = 21,501,439,163.29/145,363.84
  6. Step 6: Final answer
    x = 147,914.63

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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.