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Finding the Fourth Proportional to 133,342.84, 200,014.20 and 53,417.08

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Solution

The fourth proportional to 133,342.84, 200,014.20 and 53,417.08 is: 80,125.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,342.84 : 200,014.20 = 53,417.08 : x
  2. Step 2: Convert to fraction form
    133,342.84/200,014.20 = 53,417.08/x
  3. Step 3: Cross multiply
    133,342.84x = 200,014.20 × 53,417.08
  4. Step 4: Simplify right side
    133,342.84x = 10,684,174,522.54
  5. Step 5: Solve for x
    x = 10,684,174,522.54/133,342.84
  6. Step 6: Final answer
    x = 80,125.60

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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.