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Finding the Fourth Proportional to 102,310.96, 153,488.40 and 57,958.96

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Solution

The fourth proportional to 102,310.96, 153,488.40 and 57,958.96 is: 86,950.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,310.96 : 153,488.40 = 57,958.96 : x
  2. Step 2: Convert to fraction form
    102,310.96/153,488.40 = 57,958.96/x
  3. Step 3: Cross multiply
    102,310.96x = 153,488.40 × 57,958.96
  4. Step 4: Simplify right side
    102,310.96x = 8,896,028,036.06
  5. Step 5: Solve for x
    x = 8,896,028,036.06/102,310.96
  6. Step 6: Final answer
    x = 86,950.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.