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Finding the Fourth Proportional to 106,044, 146,344.14 and 58,300.80

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Solution

The fourth proportional to 106,044, 146,344.14 and 58,300.80 is: 80,456.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,044 : 146,344.14 = 58,300.80 : x
  2. Step 2: Convert to fraction form
    106,044/146,344.14 = 58,300.80/x
  3. Step 3: Cross multiply
    106,044x = 146,344.14 × 58,300.80
  4. Step 4: Simplify right side
    106,044x = 8,531,980,437.31
  5. Step 5: Solve for x
    x = 8,531,980,437.31/106,044
  6. Step 6: Final answer
    x = 80,456.98

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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.