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Finding the Fourth Proportional to 106,116.53, 146,461.62 and 60,824.87

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Solution

The fourth proportional to 106,116.53, 146,461.62 and 60,824.87 is: 83,950.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,116.53 : 146,461.62 = 60,824.87 : x
  2. Step 2: Convert to fraction form
    106,116.53/146,461.62 = 60,824.87/x
  3. Step 3: Cross multiply
    106,116.53x = 146,461.62 × 60,824.87
  4. Step 4: Simplify right side
    106,116.53x = 8,908,508,996.49
  5. Step 5: Solve for x
    x = 8,908,508,996.49/106,116.53
  6. Step 6: Final answer
    x = 83,950.25

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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.