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Finding the Fourth Proportional to 200,909.06, 301,509.24 and 74,567.30

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Solution

The fourth proportional to 200,909.06, 301,509.24 and 74,567.30 is: 111,905.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,909.06 : 301,509.24 = 74,567.30 : x
  2. Step 2: Convert to fraction form
    200,909.06/301,509.24 = 74,567.30/x
  3. Step 3: Cross multiply
    200,909.06x = 301,509.24 × 74,567.30
  4. Step 4: Simplify right side
    200,909.06x = 22,482,729,951.85
  5. Step 5: Solve for x
    x = 22,482,729,951.85/200,909.06
  6. Step 6: Final answer
    x = 111,905.01

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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.