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Finding the Fourth Proportional to 117,157.43, 175,699.81 and 42,267.85

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Solution

The fourth proportional to 117,157.43, 175,699.81 and 42,267.85 is: 63,388.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,157.43 : 175,699.81 = 42,267.85 : x
  2. Step 2: Convert to fraction form
    117,157.43/175,699.81 = 42,267.85/x
  3. Step 3: Cross multiply
    117,157.43x = 175,699.81 × 42,267.85
  4. Step 4: Simplify right side
    117,157.43x = 7,426,453,214.11
  5. Step 5: Solve for x
    x = 7,426,453,214.11/117,157.43
  6. Step 6: Final answer
    x = 63,388.67

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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.