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Finding the Fourth Proportional to 112,978.23, 169,260.80 and 52,896.48

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Solution

The fourth proportional to 112,978.23, 169,260.80 and 52,896.48 is: 79,248.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,978.23 : 169,260.80 = 52,896.48 : x
  2. Step 2: Convert to fraction form
    112,978.23/169,260.80 = 52,896.48/x
  3. Step 3: Cross multiply
    112,978.23x = 169,260.80 × 52,896.48
  4. Step 4: Simplify right side
    112,978.23x = 8,953,300,257.50
  5. Step 5: Solve for x
    x = 8,953,300,257.50/112,978.23
  6. Step 6: Final answer
    x = 79,248.01

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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.