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Finding the Fourth Proportional to 142,782.90, 214,118.98 and 76,186.70

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Solution

The fourth proportional to 142,782.90, 214,118.98 and 76,186.70 is: 114,250.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,782.90 : 214,118.98 = 76,186.70 : x
  2. Step 2: Convert to fraction form
    142,782.90/214,118.98 = 76,186.70/x
  3. Step 3: Cross multiply
    142,782.90x = 214,118.98 × 76,186.70
  4. Step 4: Simplify right side
    142,782.90x = 16,313,018,493.57
  5. Step 5: Solve for x
    x = 16,313,018,493.57/142,782.90
  6. Step 6: Final answer
    x = 114,250.51

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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.