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Finding the Fourth Proportional to 133,782.30, 200,503.35 and 54,807.30

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Solution

The fourth proportional to 133,782.30, 200,503.35 and 54,807.30 is: 82,141.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,782.30 : 200,503.35 = 54,807.30 : x
  2. Step 2: Convert to fraction form
    133,782.30/200,503.35 = 54,807.30/x
  3. Step 3: Cross multiply
    133,782.30x = 200,503.35 × 54,807.30
  4. Step 4: Simplify right side
    133,782.30x = 10,989,047,254.46
  5. Step 5: Solve for x
    x = 10,989,047,254.46/133,782.30
  6. Step 6: Final answer
    x = 82,141.26

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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.