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Finding the Fourth Proportional to 185,762.70, 256,431 and 125,415.09

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Solution

The fourth proportional to 185,762.70, 256,431 and 125,415.09 is: 173,125.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,762.70 : 256,431 = 125,415.09 : x
  2. Step 2: Convert to fraction form
    185,762.70/256,431 = 125,415.09/x
  3. Step 3: Cross multiply
    185,762.70x = 256,431 × 125,415.09
  4. Step 4: Simplify right side
    185,762.70x = 32,160,316,943.79
  5. Step 5: Solve for x
    x = 32,160,316,943.79/185,762.70
  6. Step 6: Final answer
    x = 173,125.80

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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.