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Finding the Fourth Proportional to 256,626, 384,960.51 and 94,564.17

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Solution

The fourth proportional to 256,626, 384,960.51 and 94,564.17 is: 141,854.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,626 : 384,960.51 = 94,564.17 : x
  2. Step 2: Convert to fraction form
    256,626/384,960.51 = 94,564.17/x
  3. Step 3: Cross multiply
    256,626x = 384,960.51 × 94,564.17
  4. Step 4: Simplify right side
    256,626x = 36,403,471,110.93
  5. Step 5: Solve for x
    x = 36,403,471,110.93/256,626
  6. Step 6: Final answer
    x = 141,854.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.