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Finding the Fourth Proportional to 106,003.48, 146,130.70 and 74,073.24

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Solution

The fourth proportional to 106,003.48, 146,130.70 and 74,073.24 is: 102,113.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,003.48 : 146,130.70 = 74,073.24 : x
  2. Step 2: Convert to fraction form
    106,003.48/146,130.70 = 74,073.24/x
  3. Step 3: Cross multiply
    106,003.48x = 146,130.70 × 74,073.24
  4. Step 4: Simplify right side
    106,003.48x = 10,824,374,412.47
  5. Step 5: Solve for x
    x = 10,824,374,412.47/106,003.48
  6. Step 6: Final answer
    x = 102,113.39

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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.