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Finding the Fourth Proportional to 207,929.34, 311,905.35 and 65,764.00

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Solution

The fourth proportional to 207,929.34, 311,905.35 and 65,764.00 is: 98,649.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,929.34 : 311,905.35 = 65,764.00 : x
  2. Step 2: Convert to fraction form
    207,929.34/311,905.35 = 65,764.00/x
  3. Step 3: Cross multiply
    207,929.34x = 311,905.35 × 65,764.00
  4. Step 4: Simplify right side
    207,929.34x = 20,512,141,877.87
  5. Step 5: Solve for x
    x = 20,512,141,877.87/207,929.34
  6. Step 6: Final answer
    x = 98,649.58

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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.