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Finding the Fourth Proportional to 102,497.90, 141,390.24 and 60,048.23

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Solution

The fourth proportional to 102,497.90, 141,390.24 and 60,048.23 is: 82,833.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,497.90 : 141,390.24 = 60,048.23 : x
  2. Step 2: Convert to fraction form
    102,497.90/141,390.24 = 60,048.23/x
  3. Step 3: Cross multiply
    102,497.90x = 141,390.24 × 60,048.23
  4. Step 4: Simplify right side
    102,497.90x = 8,490,233,651.28
  5. Step 5: Solve for x
    x = 8,490,233,651.28/102,497.90
  6. Step 6: Final answer
    x = 82,833.24

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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.