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Finding the Fourth Proportional to 105,800.32, 158,699.76 and 26,913.84

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Solution

The fourth proportional to 105,800.32, 158,699.76 and 26,913.84 is: 40,370.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,800.32 : 158,699.76 = 26,913.84 : x
  2. Step 2: Convert to fraction form
    105,800.32/158,699.76 = 26,913.84/x
  3. Step 3: Cross multiply
    105,800.32x = 158,699.76 × 26,913.84
  4. Step 4: Simplify right side
    105,800.32x = 4,271,219,948.68
  5. Step 5: Solve for x
    x = 4,271,219,948.68/105,800.32
  6. Step 6: Final answer
    x = 40,370.58

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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.