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Finding the Fourth Proportional to 201,209.60, 301,814.40 and 198,585.20

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Solution

The fourth proportional to 201,209.60, 301,814.40 and 198,585.20 is: 297,877.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,209.60 : 301,814.40 = 198,585.20 : x
  2. Step 2: Convert to fraction form
    201,209.60/301,814.40 = 198,585.20/x
  3. Step 3: Cross multiply
    201,209.60x = 301,814.40 × 198,585.20
  4. Step 4: Simplify right side
    201,209.60x = 59,935,872,986.88
  5. Step 5: Solve for x
    x = 59,935,872,986.88/201,209.60
  6. Step 6: Final answer
    x = 297,877.80

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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.