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Finding the Fourth Proportional to 185,760.98, 256,353.12 and 105,186.32

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Solution

The fourth proportional to 185,760.98, 256,353.12 and 105,186.32 is: 145,158.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,760.98 : 256,353.12 = 105,186.32 : x
  2. Step 2: Convert to fraction form
    185,760.98/256,353.12 = 105,186.32/x
  3. Step 3: Cross multiply
    185,760.98x = 256,353.12 × 105,186.32
  4. Step 4: Simplify right side
    185,760.98x = 26,964,841,313.32
  5. Step 5: Solve for x
    x = 26,964,841,313.32/185,760.98
  6. Step 6: Final answer
    x = 145,158.80

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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.