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Finding the Fourth Proportional to 135,096.77, 186,443.19 and 74,666.11

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Solution

The fourth proportional to 135,096.77, 186,443.19 and 74,666.11 is: 103,044.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,096.77 : 186,443.19 = 74,666.11 : x
  2. Step 2: Convert to fraction form
    135,096.77/186,443.19 = 74,666.11/x
  3. Step 3: Cross multiply
    135,096.77x = 186,443.19 × 74,666.11
  4. Step 4: Simplify right side
    135,096.77x = 13,920,988,351.13
  5. Step 5: Solve for x
    x = 13,920,988,351.13/135,096.77
  6. Step 6: Final answer
    x = 103,044.57

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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.