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Finding the Fourth Proportional to 201,829.71, 278,808.29 and 191,200.89

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Solution

The fourth proportional to 201,829.71, 278,808.29 and 191,200.89 is: 264,125.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,829.71 : 278,808.29 = 191,200.89 : x
  2. Step 2: Convert to fraction form
    201,829.71/278,808.29 = 191,200.89/x
  3. Step 3: Cross multiply
    201,829.71x = 278,808.29 × 191,200.89
  4. Step 4: Simplify right side
    201,829.71x = 53,308,395,069.41
  5. Step 5: Solve for x
    x = 53,308,395,069.41/201,829.71
  6. Step 6: Final answer
    x = 264,125.60

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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.