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Finding the Fourth Proportional to 136,585.94, 204,971.52 and 47,840.18

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Solution

The fourth proportional to 136,585.94, 204,971.52 and 47,840.18 is: 71,792.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,585.94 : 204,971.52 = 47,840.18 : x
  2. Step 2: Convert to fraction form
    136,585.94/204,971.52 = 47,840.18/x
  3. Step 3: Cross multiply
    136,585.94x = 204,971.52 × 47,840.18
  4. Step 4: Simplify right side
    136,585.94x = 9,805,874,411.67
  5. Step 5: Solve for x
    x = 9,805,874,411.67/136,585.94
  6. Step 6: Final answer
    x = 71,792.71

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Why These Related Problems?

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