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Finding the Fourth Proportional to 105,494.94, 158,201.40 and 38,008.98

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Solution

The fourth proportional to 105,494.94, 158,201.40 and 38,008.98 is: 56,998.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,494.94 : 158,201.40 = 38,008.98 : x
  2. Step 2: Convert to fraction form
    105,494.94/158,201.40 = 38,008.98/x
  3. Step 3: Cross multiply
    105,494.94x = 158,201.40 × 38,008.98
  4. Step 4: Simplify right side
    105,494.94x = 6,013,073,848.57
  5. Step 5: Solve for x
    x = 6,013,073,848.57/105,494.94
  6. Step 6: Final answer
    x = 56,998.69

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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.