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Finding the Fourth Proportional to 173,643.80, 260,465.70 and 114,546.20

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Solution

The fourth proportional to 173,643.80, 260,465.70 and 114,546.20 is: 171,819.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,643.80 : 260,465.70 = 114,546.20 : x
  2. Step 2: Convert to fraction form
    173,643.80/260,465.70 = 114,546.20/x
  3. Step 3: Cross multiply
    173,643.80x = 260,465.70 × 114,546.20
  4. Step 4: Simplify right side
    173,643.80x = 29,835,356,165.34
  5. Step 5: Solve for x
    x = 29,835,356,165.34/173,643.80
  6. Step 6: Final answer
    x = 171,819.30

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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.