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Finding the Fourth Proportional to 110,453.76, 165,701.16 and 100,437.84

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Solution

The fourth proportional to 110,453.76, 165,701.16 and 100,437.84 is: 150,675.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,453.76 : 165,701.16 = 100,437.84 : x
  2. Step 2: Convert to fraction form
    110,453.76/165,701.16 = 100,437.84/x
  3. Step 3: Cross multiply
    110,453.76x = 165,701.16 × 100,437.84
  4. Step 4: Simplify right side
    110,453.76x = 16,642,666,595.89
  5. Step 5: Solve for x
    x = 16,642,666,595.89/110,453.76
  6. Step 6: Final answer
    x = 150,675.42

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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.