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Finding the Fourth Proportional to 123,807.41, 170,471.65 and 96,693.02

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Solution

The fourth proportional to 123,807.41, 170,471.65 and 96,693.02 is: 133,137.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,807.41 : 170,471.65 = 96,693.02 : x
  2. Step 2: Convert to fraction form
    123,807.41/170,471.65 = 96,693.02/x
  3. Step 3: Cross multiply
    123,807.41x = 170,471.65 × 96,693.02
  4. Step 4: Simplify right side
    123,807.41x = 16,483,417,327.06
  5. Step 5: Solve for x
    x = 16,483,417,327.06/123,807.41
  6. Step 6: Final answer
    x = 133,137.57

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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.