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Finding the Fourth Proportional to 133,602, 200,412.69 and 44,854.74

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Solution

The fourth proportional to 133,602, 200,412.69 and 44,854.74 is: 67,285.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,602 : 200,412.69 = 44,854.74 : x
  2. Step 2: Convert to fraction form
    133,602/200,412.69 = 44,854.74/x
  3. Step 3: Cross multiply
    133,602x = 200,412.69 × 44,854.74
  4. Step 4: Simplify right side
    133,602x = 8,989,459,102.65
  5. Step 5: Solve for x
    x = 8,989,459,102.65/133,602
  6. Step 6: Final answer
    x = 67,285.36

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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.