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Finding the Fourth Proportional to 133,852.01, 200,796.54 and 45,130.89

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Solution

The fourth proportional to 133,852.01, 200,796.54 and 45,130.89 is: 67,702.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,852.01 : 200,796.54 = 45,130.89 : x
  2. Step 2: Convert to fraction form
    133,852.01/200,796.54 = 45,130.89/x
  3. Step 3: Cross multiply
    133,852.01x = 200,796.54 × 45,130.89
  4. Step 4: Simplify right side
    133,852.01x = 9,062,126,559.12
  5. Step 5: Solve for x
    x = 9,062,126,559.12/133,852.01
  6. Step 6: Final answer
    x = 67,702.58

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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.