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Finding the Fourth Proportional to 175,057.44, 262,586.16 and 139,832.16

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Solution

The fourth proportional to 175,057.44, 262,586.16 and 139,832.16 is: 209,748.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,057.44 : 262,586.16 = 139,832.16 : x
  2. Step 2: Convert to fraction form
    175,057.44/262,586.16 = 139,832.16/x
  3. Step 3: Cross multiply
    175,057.44x = 262,586.16 × 139,832.16
  4. Step 4: Simplify right side
    175,057.44x = 36,717,989,938.91
  5. Step 5: Solve for x
    x = 36,717,989,938.91/175,057.44
  6. Step 6: Final answer
    x = 209,748.24

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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.