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Finding the Fourth Proportional to 103,427.80, 155,178.15 and 99,782.80

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Solution

The fourth proportional to 103,427.80, 155,178.15 and 99,782.80 is: 149,709.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,427.80 : 155,178.15 = 99,782.80 : x
  2. Step 2: Convert to fraction form
    103,427.80/155,178.15 = 99,782.80/x
  3. Step 3: Cross multiply
    103,427.80x = 155,178.15 × 99,782.80
  4. Step 4: Simplify right side
    103,427.80x = 15,484,110,305.82
  5. Step 5: Solve for x
    x = 15,484,110,305.82/103,427.80
  6. Step 6: Final answer
    x = 149,709.37

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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.