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Finding the Fourth Proportional to 215,719.50, 323,580 and 65,959.22

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Solution

The fourth proportional to 215,719.50, 323,580 and 65,959.22 is: 98,939.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,719.50 : 323,580 = 65,959.22 : x
  2. Step 2: Convert to fraction form
    215,719.50/323,580 = 65,959.22/x
  3. Step 3: Cross multiply
    215,719.50x = 323,580 × 65,959.22
  4. Step 4: Simplify right side
    215,719.50x = 21,343,084,407.60
  5. Step 5: Solve for x
    x = 21,343,084,407.60/215,719.50
  6. Step 6: Final answer
    x = 98,939.06

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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.