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Finding the Fourth Proportional to 103,005.39, 142,161.84 and 74,417.57

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Solution

The fourth proportional to 103,005.39, 142,161.84 and 74,417.57 is: 102,706.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,005.39 : 142,161.84 = 74,417.57 : x
  2. Step 2: Convert to fraction form
    103,005.39/142,161.84 = 74,417.57/x
  3. Step 3: Cross multiply
    103,005.39x = 142,161.84 × 74,417.57
  4. Step 4: Simplify right side
    103,005.39x = 10,579,337,968.72
  5. Step 5: Solve for x
    x = 10,579,337,968.72/103,005.39
  6. Step 6: Final answer
    x = 102,706.64

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