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Finding the Fourth Proportional to 149,573.80, 205,991.94 and 146,307.88

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Solution

The fourth proportional to 149,573.80, 205,991.94 and 146,307.88 is: 201,494.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,573.80 : 205,991.94 = 146,307.88 : x
  2. Step 2: Convert to fraction form
    149,573.80/205,991.94 = 146,307.88/x
  3. Step 3: Cross multiply
    149,573.80x = 205,991.94 × 146,307.88
  4. Step 4: Simplify right side
    149,573.80x = 30,138,244,038.49
  5. Step 5: Solve for x
    x = 30,138,244,038.49/149,573.80
  6. Step 6: Final answer
    x = 201,494.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.