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Finding the Fourth Proportional to 159,205.16, 219,695.19 and 87,583.34

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Solution

The fourth proportional to 159,205.16, 219,695.19 and 87,583.34 is: 120,860.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,205.16 : 219,695.19 = 87,583.34 : x
  2. Step 2: Convert to fraction form
    159,205.16/219,695.19 = 87,583.34/x
  3. Step 3: Cross multiply
    159,205.16x = 219,695.19 × 87,583.34
  4. Step 4: Simplify right side
    159,205.16x = 19,241,638,742.94
  5. Step 5: Solve for x
    x = 19,241,638,742.94/159,205.16
  6. Step 6: Final answer
    x = 120,860.65

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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.