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Finding the Fourth Proportional to 159,058.38, 219,496.23 and 87,438.42

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Solution

The fourth proportional to 159,058.38, 219,496.23 and 87,438.42 is: 120,662.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,058.38 : 219,496.23 = 87,438.42 : x
  2. Step 2: Convert to fraction form
    159,058.38/219,496.23 = 87,438.42/x
  3. Step 3: Cross multiply
    159,058.38x = 219,496.23 × 87,438.42
  4. Step 4: Simplify right side
    159,058.38x = 19,192,403,547.16
  5. Step 5: Solve for x
    x = 19,192,403,547.16/159,058.38
  6. Step 6: Final answer
    x = 120,662.64

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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.