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Finding the Fourth Proportional to 133,762.40, 200,672.40 and 40,277.60

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Solution

The fourth proportional to 133,762.40, 200,672.40 and 40,277.60 is: 60,425.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,762.40 : 200,672.40 = 40,277.60 : x
  2. Step 2: Convert to fraction form
    133,762.40/200,672.40 = 40,277.60/x
  3. Step 3: Cross multiply
    133,762.40x = 200,672.40 × 40,277.60
  4. Step 4: Simplify right side
    133,762.40x = 8,082,602,658.24
  5. Step 5: Solve for x
    x = 8,082,602,658.24/133,762.40
  6. Step 6: Final answer
    x = 60,425.07

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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.