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Finding the Fourth Proportional to 133,513.84, 200,303.52 and 40,019.50

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Solution

The fourth proportional to 133,513.84, 200,303.52 and 40,019.50 is: 60,039.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,513.84 : 200,303.52 = 40,019.50 : x
  2. Step 2: Convert to fraction form
    133,513.84/200,303.52 = 40,019.50/x
  3. Step 3: Cross multiply
    133,513.84x = 200,303.52 × 40,019.50
  4. Step 4: Simplify right side
    133,513.84x = 8,016,046,718.64
  5. Step 5: Solve for x
    x = 8,016,046,718.64/133,513.84
  6. Step 6: Final answer
    x = 60,039.07

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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.