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Finding the Fourth Proportional to 154,841.56, 232,262.64 and 42,523.24

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Solution

The fourth proportional to 154,841.56, 232,262.64 and 42,523.24 is: 63,784.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,841.56 : 232,262.64 = 42,523.24 : x
  2. Step 2: Convert to fraction form
    154,841.56/232,262.64 = 42,523.24/x
  3. Step 3: Cross multiply
    154,841.56x = 232,262.64 × 42,523.24
  4. Step 4: Simplify right side
    154,841.56x = 9,876,559,983.75
  5. Step 5: Solve for x
    x = 9,876,559,983.75/154,841.56
  6. Step 6: Final answer
    x = 63,784.94

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Why These Related Problems?

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