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Finding the Fourth Proportional to 146,204.93, 201,763.61 and 85,776.76

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Solution

The fourth proportional to 146,204.93, 201,763.61 and 85,776.76 is: 118,372.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,204.93 : 201,763.61 = 85,776.76 : x
  2. Step 2: Convert to fraction form
    146,204.93/201,763.61 = 85,776.76/x
  3. Step 3: Cross multiply
    146,204.93x = 201,763.61 × 85,776.76
  4. Step 4: Simplify right side
    146,204.93x = 17,306,627,761.77
  5. Step 5: Solve for x
    x = 17,306,627,761.77/146,204.93
  6. Step 6: Final answer
    x = 118,372.39

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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.