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Finding the Fourth Proportional to 159,322.37, 219,869.82 and 86,730.09

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Solution

The fourth proportional to 159,322.37, 219,869.82 and 86,730.09 is: 119,690.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,322.37 : 219,869.82 = 86,730.09 : x
  2. Step 2: Convert to fraction form
    159,322.37/219,869.82 = 86,730.09/x
  3. Step 3: Cross multiply
    159,322.37x = 219,869.82 × 86,730.09
  4. Step 4: Simplify right side
    159,322.37x = 19,069,329,276.88
  5. Step 5: Solve for x
    x = 19,069,329,276.88/159,322.37
  6. Step 6: Final answer
    x = 119,690.22

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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.