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Finding the Fourth Proportional to 108,856.77, 163,347.34 and 42,288.23

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Solution

The fourth proportional to 108,856.77, 163,347.34 and 42,288.23 is: 63,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,856.77 : 163,347.34 = 42,288.23 : x
  2. Step 2: Convert to fraction form
    108,856.77/163,347.34 = 42,288.23/x
  3. Step 3: Cross multiply
    108,856.77x = 163,347.34 × 42,288.23
  4. Step 4: Simplify right side
    108,856.77x = 6,907,669,883.81
  5. Step 5: Solve for x
    x = 6,907,669,883.81/108,856.77
  6. Step 6: Final answer
    x = 63,456.50

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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.