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Finding the Fourth Proportional to 154,842.36, 232,263.36 and 42,523.80

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Solution

The fourth proportional to 154,842.36, 232,263.36 and 42,523.80 is: 63,785.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,842.36 : 232,263.36 = 42,523.80 : x
  2. Step 2: Convert to fraction form
    154,842.36/232,263.36 = 42,523.80/x
  3. Step 3: Cross multiply
    154,842.36x = 232,263.36 × 42,523.80
  4. Step 4: Simplify right side
    154,842.36x = 9,876,720,667.97
  5. Step 5: Solve for x
    x = 9,876,720,667.97/154,842.36
  6. Step 6: Final answer
    x = 63,785.65

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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.