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Finding the Fourth Proportional to 133,507.44, 200,267.30 and 74,298.50

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Solution

The fourth proportional to 133,507.44, 200,267.30 and 74,298.50 is: 111,451.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,507.44 : 200,267.30 = 74,298.50 : x
  2. Step 2: Convert to fraction form
    133,507.44/200,267.30 = 74,298.50/x
  3. Step 3: Cross multiply
    133,507.44x = 200,267.30 × 74,298.50
  4. Step 4: Simplify right side
    133,507.44x = 14,879,559,924.46
  5. Step 5: Solve for x
    x = 14,879,559,924.46/133,507.44
  6. Step 6: Final answer
    x = 111,451.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.