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Finding the Fourth Proportional to 133,355.40, 200,052.98 and 49,109.08

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Solution

The fourth proportional to 133,355.40, 200,052.98 and 49,109.08 is: 73,670.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,355.40 : 200,052.98 = 49,109.08 : x
  2. Step 2: Convert to fraction form
    133,355.40/200,052.98 = 49,109.08/x
  3. Step 3: Cross multiply
    133,355.40x = 200,052.98 × 49,109.08
  4. Step 4: Simplify right side
    133,355.40x = 9,824,417,799.06
  5. Step 5: Solve for x
    x = 9,824,417,799.06/133,355.40
  6. Step 6: Final answer
    x = 73,670.94

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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.