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Finding the Fourth Proportional to 185,816.60, 256,431.65 and 105,242.93

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Solution

The fourth proportional to 185,816.60, 256,431.65 and 105,242.93 is: 145,237.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,816.60 : 256,431.65 = 105,242.93 : x
  2. Step 2: Convert to fraction form
    185,816.60/256,431.65 = 105,242.93/x
  3. Step 3: Cross multiply
    185,816.60x = 256,431.65 × 105,242.93
  4. Step 4: Simplify right side
    185,816.60x = 26,987,618,190.73
  5. Step 5: Solve for x
    x = 26,987,618,190.73/185,816.60
  6. Step 6: Final answer
    x = 145,237.93

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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.