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Finding the Fourth Proportional to 163,697.45, 225,933.53 and 102,472.12

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Solution

The fourth proportional to 163,697.45, 225,933.53 and 102,472.12 is: 141,430.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,697.45 : 225,933.53 = 102,472.12 : x
  2. Step 2: Convert to fraction form
    163,697.45/225,933.53 = 102,472.12/x
  3. Step 3: Cross multiply
    163,697.45x = 225,933.53 × 102,472.12
  4. Step 4: Simplify right side
    163,697.45x = 23,151,887,798.18
  5. Step 5: Solve for x
    x = 23,151,887,798.18/163,697.45
  6. Step 6: Final answer
    x = 141,430.96

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Why These Related Problems?

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