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Finding the Fourth Proportional to 133,782.42, 200,703.21 and 45,033

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Solution

The fourth proportional to 133,782.42, 200,703.21 and 45,033 is: 67,559.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,782.42 : 200,703.21 = 45,033 : x
  2. Step 2: Convert to fraction form
    133,782.42/200,703.21 = 45,033/x
  3. Step 3: Cross multiply
    133,782.42x = 200,703.21 × 45,033
  4. Step 4: Simplify right side
    133,782.42x = 9,038,267,655.93
  5. Step 5: Solve for x
    x = 9,038,267,655.93/133,782.42
  6. Step 6: Final answer
    x = 67,559.46

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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.