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Finding the Fourth Proportional to 133,094.52, 183,668.01 and 75,732.60

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Solution

The fourth proportional to 133,094.52, 183,668.01 and 75,732.60 is: 104,509.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,094.52 : 183,668.01 = 75,732.60 : x
  2. Step 2: Convert to fraction form
    133,094.52/183,668.01 = 75,732.60/x
  3. Step 3: Cross multiply
    133,094.52x = 183,668.01 × 75,732.60
  4. Step 4: Simplify right side
    133,094.52x = 13,909,655,934.13
  5. Step 5: Solve for x
    x = 13,909,655,934.13/133,094.52
  6. Step 6: Final answer
    x = 104,509.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.