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Finding the Fourth Proportional to 101,762.64, 152,446.32 and 57,253.68

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Solution

The fourth proportional to 101,762.64, 152,446.32 and 57,253.68 is: 85,769.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,762.64 : 152,446.32 = 57,253.68 : x
  2. Step 2: Convert to fraction form
    101,762.64/152,446.32 = 57,253.68/x
  3. Step 3: Cross multiply
    101,762.64x = 152,446.32 × 57,253.68
  4. Step 4: Simplify right side
    101,762.64x = 8,728,112,822.46
  5. Step 5: Solve for x
    x = 8,728,112,822.46/101,762.64
  6. Step 6: Final answer
    x = 85,769.32

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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.