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Finding the Fourth Proportional to 133,760.92, 200,649.60 and 45,007

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Solution

The fourth proportional to 133,760.92, 200,649.60 and 45,007 is: 67,513.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,760.92 : 200,649.60 = 45,007 : x
  2. Step 2: Convert to fraction form
    133,760.92/200,649.60 = 45,007/x
  3. Step 3: Cross multiply
    133,760.92x = 200,649.60 × 45,007
  4. Step 4: Simplify right side
    133,760.92x = 9,030,636,547.20
  5. Step 5: Solve for x
    x = 9,030,636,547.20/133,760.92
  6. Step 6: Final answer
    x = 67,513.27

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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.