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Finding the Fourth Proportional to 123,740.90, 170,498.67 and 83,384.57

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Solution

The fourth proportional to 123,740.90, 170,498.67 and 83,384.57 is: 114,892.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,740.90 : 170,498.67 = 83,384.57 : x
  2. Step 2: Convert to fraction form
    123,740.90/170,498.67 = 83,384.57/x
  3. Step 3: Cross multiply
    123,740.90x = 170,498.67 × 83,384.57
  4. Step 4: Simplify right side
    123,740.90x = 14,216,957,431.03
  5. Step 5: Solve for x
    x = 14,216,957,431.03/123,740.90
  6. Step 6: Final answer
    x = 114,892.96

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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.