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Finding the Fourth Proportional to 185,928, 257,256.18 and 162,104.28

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Solution

The fourth proportional to 185,928, 257,256.18 and 162,104.28 is: 224,292.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,928 : 257,256.18 = 162,104.28 : x
  2. Step 2: Convert to fraction form
    185,928/257,256.18 = 162,104.28/x
  3. Step 3: Cross multiply
    185,928x = 257,256.18 × 162,104.28
  4. Step 4: Simplify right side
    185,928x = 41,702,327,834.45
  5. Step 5: Solve for x
    x = 41,702,327,834.45/185,928
  6. Step 6: Final answer
    x = 224,292.89

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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.