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Finding the Fourth Proportional to 106,357.68, 146,768.32 and 58,610

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Solution

The fourth proportional to 106,357.68, 146,768.32 and 58,610 is: 80,878.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,357.68 : 146,768.32 = 58,610 : x
  2. Step 2: Convert to fraction form
    106,357.68/146,768.32 = 58,610/x
  3. Step 3: Cross multiply
    106,357.68x = 146,768.32 × 58,610
  4. Step 4: Simplify right side
    106,357.68x = 8,602,091,235.20
  5. Step 5: Solve for x
    x = 8,602,091,235.20/106,357.68
  6. Step 6: Final answer
    x = 80,878.89

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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.