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Finding the Fourth Proportional to 105,776.64, 158,665.34 and 26,890.87

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Solution

The fourth proportional to 105,776.64, 158,665.34 and 26,890.87 is: 40,336.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,776.64 : 158,665.34 = 26,890.87 : x
  2. Step 2: Convert to fraction form
    105,776.64/158,665.34 = 26,890.87/x
  3. Step 3: Cross multiply
    105,776.64x = 158,665.34 × 26,890.87
  4. Step 4: Simplify right side
    105,776.64x = 4,266,648,999.51
  5. Step 5: Solve for x
    x = 4,266,648,999.51/105,776.64
  6. Step 6: Final answer
    x = 40,336.40

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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.