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Finding the Fourth Proportional to 110,178.40, 164,830.20 and 95,549.80

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Solution

The fourth proportional to 110,178.40, 164,830.20 and 95,549.80 is: 142,945.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,178.40 : 164,830.20 = 95,549.80 : x
  2. Step 2: Convert to fraction form
    110,178.40/164,830.20 = 95,549.80/x
  3. Step 3: Cross multiply
    110,178.40x = 164,830.20 × 95,549.80
  4. Step 4: Simplify right side
    110,178.40x = 15,749,492,643.96
  5. Step 5: Solve for x
    x = 15,749,492,643.96/110,178.40
  6. Step 6: Final answer
    x = 142,945.37

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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.