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Finding the Fourth Proportional to 131,658.10, 197,159.10 and 105,414.10

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Solution

The fourth proportional to 131,658.10, 197,159.10 and 105,414.10 is: 157,858.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,658.10 : 197,159.10 = 105,414.10 : x
  2. Step 2: Convert to fraction form
    131,658.10/197,159.10 = 105,414.10/x
  3. Step 3: Cross multiply
    131,658.10x = 197,159.10 × 105,414.10
  4. Step 4: Simplify right side
    131,658.10x = 20,783,349,083.31
  5. Step 5: Solve for x
    x = 20,783,349,083.31/131,658.10
  6. Step 6: Final answer
    x = 157,858.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.