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Finding the Fourth Proportional to 106,006.98, 146,286.54 and 60,683.46

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Solution

The fourth proportional to 106,006.98, 146,286.54 and 60,683.46 is: 83,741.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,006.98 : 146,286.54 = 60,683.46 : x
  2. Step 2: Convert to fraction form
    106,006.98/146,286.54 = 60,683.46/x
  3. Step 3: Cross multiply
    106,006.98x = 146,286.54 × 60,683.46
  4. Step 4: Simplify right side
    106,006.98x = 8,877,173,398.63
  5. Step 5: Solve for x
    x = 8,877,173,398.63/106,006.98
  6. Step 6: Final answer
    x = 83,741.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.