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Finding the Fourth Proportional to 133,784.84, 200,707.96 and 45,035.96

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Solution

The fourth proportional to 133,784.84, 200,707.96 and 45,035.96 is: 67,564.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,784.84 : 200,707.96 = 45,035.96 : x
  2. Step 2: Convert to fraction form
    133,784.84/200,707.96 = 45,035.96/x
  3. Step 3: Cross multiply
    133,784.84x = 200,707.96 × 45,035.96
  4. Step 4: Simplify right side
    133,784.84x = 9,039,075,658.24
  5. Step 5: Solve for x
    x = 9,039,075,658.24/133,784.84
  6. Step 6: Final answer
    x = 67,564.27

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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.