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Finding the Fourth Proportional to 106,051.49, 146,347.32 and 58,304.49

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Solution

The fourth proportional to 106,051.49, 146,347.32 and 58,304.49 is: 80,458.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,051.49 : 146,347.32 = 58,304.49 : x
  2. Step 2: Convert to fraction form
    106,051.49/146,347.32 = 58,304.49/x
  3. Step 3: Cross multiply
    106,051.49x = 146,347.32 × 58,304.49
  4. Step 4: Simplify right side
    106,051.49x = 8,532,705,855.47
  5. Step 5: Solve for x
    x = 8,532,705,855.47/106,051.49
  6. Step 6: Final answer
    x = 80,458.14

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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.