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Finding the Fourth Proportional to 195,065.70, 292,598.53 and 54,824.32

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Solution

The fourth proportional to 195,065.70, 292,598.53 and 54,824.32 is: 82,236.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,065.70 : 292,598.53 = 54,824.32 : x
  2. Step 2: Convert to fraction form
    195,065.70/292,598.53 = 54,824.32/x
  3. Step 3: Cross multiply
    195,065.70x = 292,598.53 × 54,824.32
  4. Step 4: Simplify right side
    195,065.70x = 16,041,515,440.25
  5. Step 5: Solve for x
    x = 16,041,515,440.25/195,065.70
  6. Step 6: Final answer
    x = 82,236.47

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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.