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Finding the Fourth Proportional to 110,095.31, 151,931.82 and 64,775

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Solution

The fourth proportional to 110,095.31, 151,931.82 and 64,775 is: 89,389.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,095.31 : 151,931.82 = 64,775 : x
  2. Step 2: Convert to fraction form
    110,095.31/151,931.82 = 64,775/x
  3. Step 3: Cross multiply
    110,095.31x = 151,931.82 × 64,775
  4. Step 4: Simplify right side
    110,095.31x = 9,841,383,640.50
  5. Step 5: Solve for x
    x = 9,841,383,640.50/110,095.31
  6. Step 6: Final answer
    x = 89,389.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.