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Finding the Fourth Proportional to 110,602.38, 165,803.94 and 75,075.78

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Solution

The fourth proportional to 110,602.38, 165,803.94 and 75,075.78 is: 112,546.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,602.38 : 165,803.94 = 75,075.78 : x
  2. Step 2: Convert to fraction form
    110,602.38/165,803.94 = 75,075.78/x
  3. Step 3: Cross multiply
    110,602.38x = 165,803.94 × 75,075.78
  4. Step 4: Simplify right side
    110,602.38x = 12,447,860,122.57
  5. Step 5: Solve for x
    x = 12,447,860,122.57/110,602.38
  6. Step 6: Final answer
    x = 112,546.04

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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.