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Finding the Fourth Proportional to 138,331.98, 190,916.40 and 77,914.56

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Solution

The fourth proportional to 138,331.98, 190,916.40 and 77,914.56 is: 107,532.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,331.98 : 190,916.40 = 77,914.56 : x
  2. Step 2: Convert to fraction form
    138,331.98/190,916.40 = 77,914.56/x
  3. Step 3: Cross multiply
    138,331.98x = 190,916.40 × 77,914.56
  4. Step 4: Simplify right side
    138,331.98x = 14,875,167,302.78
  5. Step 5: Solve for x
    x = 14,875,167,302.78/138,331.98
  6. Step 6: Final answer
    x = 107,532.38

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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.