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Finding the Fourth Proportional to 136,047.90, 204,073.90 and 51,812.72

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Solution

The fourth proportional to 136,047.90, 204,073.90 and 51,812.72 is: 77,719.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,047.90 : 204,073.90 = 51,812.72 : x
  2. Step 2: Convert to fraction form
    136,047.90/204,073.90 = 51,812.72/x
  3. Step 3: Cross multiply
    136,047.90x = 204,073.90 × 51,812.72
  4. Step 4: Simplify right side
    136,047.90x = 10,573,623,840.01
  5. Step 5: Solve for x
    x = 10,573,623,840.01/136,047.90
  6. Step 6: Final answer
    x = 77,719.86

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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.