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Finding the Fourth Proportional to 106,070.49, 146,408.90 and 69,799.90

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Solution

The fourth proportional to 106,070.49, 146,408.90 and 69,799.90 is: 96,344.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,070.49 : 146,408.90 = 69,799.90 : x
  2. Step 2: Convert to fraction form
    106,070.49/146,408.90 = 69,799.90/x
  3. Step 3: Cross multiply
    106,070.49x = 146,408.90 × 69,799.90
  4. Step 4: Simplify right side
    106,070.49x = 10,219,326,579.11
  5. Step 5: Solve for x
    x = 10,219,326,579.11/106,070.49
  6. Step 6: Final answer
    x = 96,344.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.