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Finding the Fourth Proportional to 201,027.80, 301,541.70 and 106,549.40

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Solution

The fourth proportional to 201,027.80, 301,541.70 and 106,549.40 is: 159,824.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,027.80 : 301,541.70 = 106,549.40 : x
  2. Step 2: Convert to fraction form
    201,027.80/301,541.70 = 106,549.40/x
  3. Step 3: Cross multiply
    201,027.80x = 301,541.70 × 106,549.40
  4. Step 4: Simplify right side
    201,027.80x = 32,129,087,209.98
  5. Step 5: Solve for x
    x = 32,129,087,209.98/201,027.80
  6. Step 6: Final answer
    x = 159,824.10

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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.