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Finding the Fourth Proportional to 133,080.78, 183,654.26 and 72,653.97

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Solution

The fourth proportional to 133,080.78, 183,654.26 and 72,653.97 is: 100,264.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,080.78 : 183,654.26 = 72,653.97 : x
  2. Step 2: Convert to fraction form
    133,080.78/183,654.26 = 72,653.97/x
  3. Step 3: Cross multiply
    133,080.78x = 183,654.26 × 72,653.97
  4. Step 4: Simplify right side
    133,080.78x = 13,343,210,733.14
  5. Step 5: Solve for x
    x = 13,343,210,733.14/133,080.78
  6. Step 6: Final answer
    x = 100,264.00

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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.