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Finding the Fourth Proportional to 133,762.32, 200,664.25 and 45,008.91

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Solution

The fourth proportional to 133,762.32, 200,664.25 and 45,008.91 is: 67,520.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,762.32 : 200,664.25 = 45,008.91 : x
  2. Step 2: Convert to fraction form
    133,762.32/200,664.25 = 45,008.91/x
  3. Step 3: Cross multiply
    133,762.32x = 200,664.25 × 45,008.91
  4. Step 4: Simplify right side
    133,762.32x = 9,031,678,943.42
  5. Step 5: Solve for x
    x = 9,031,678,943.42/133,762.32
  6. Step 6: Final answer
    x = 67,520.35

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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.