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Finding the Fourth Proportional to 185,827.72, 256,438.56 and 100,945.40

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Solution

The fourth proportional to 185,827.72, 256,438.56 and 100,945.40 is: 139,302.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,827.72 : 256,438.56 = 100,945.40 : x
  2. Step 2: Convert to fraction form
    185,827.72/256,438.56 = 100,945.40/x
  3. Step 3: Cross multiply
    185,827.72x = 256,438.56 × 100,945.40
  4. Step 4: Simplify right side
    185,827.72x = 25,886,293,014.62
  5. Step 5: Solve for x
    x = 25,886,293,014.62/185,827.72
  6. Step 6: Final answer
    x = 139,302.65

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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.