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Finding the Fourth Proportional to 201,670.60, 302,505.90 and 191,829.10

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Solution

The fourth proportional to 201,670.60, 302,505.90 and 191,829.10 is: 287,743.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,670.60 : 302,505.90 = 191,829.10 : x
  2. Step 2: Convert to fraction form
    201,670.60/302,505.90 = 191,829.10/x
  3. Step 3: Cross multiply
    201,670.60x = 302,505.90 × 191,829.10
  4. Step 4: Simplify right side
    201,670.60x = 58,029,434,541.69
  5. Step 5: Solve for x
    x = 58,029,434,541.69/201,670.60
  6. Step 6: Final answer
    x = 287,743.65

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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.