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Finding the Fourth Proportional to 106,552, 159,675.68 and 78,250.08

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Solution

The fourth proportional to 106,552, 159,675.68 and 78,250.08 is: 117,263.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,552 : 159,675.68 = 78,250.08 : x
  2. Step 2: Convert to fraction form
    106,552/159,675.68 = 78,250.08/x
  3. Step 3: Cross multiply
    106,552x = 159,675.68 × 78,250.08
  4. Step 4: Simplify right side
    106,552x = 12,494,634,734.05
  5. Step 5: Solve for x
    x = 12,494,634,734.05/106,552
  6. Step 6: Final answer
    x = 117,263.26

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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.