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Finding the Fourth Proportional to 138,287.72, 190,828.89 and 77,855.93

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Solution

The fourth proportional to 138,287.72, 190,828.89 and 77,855.93 is: 107,436.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,287.72 : 190,828.89 = 77,855.93 : x
  2. Step 2: Convert to fraction form
    138,287.72/190,828.89 = 77,855.93/x
  3. Step 3: Cross multiply
    138,287.72x = 190,828.89 × 77,855.93
  4. Step 4: Simplify right side
    138,287.72x = 14,857,160,701.82
  5. Step 5: Solve for x
    x = 14,857,160,701.82/138,287.72
  6. Step 6: Final answer
    x = 107,436.59

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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.