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Finding the Fourth Proportional to 159,058.05, 238,412.12 and 65,512.77

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Solution

The fourth proportional to 159,058.05, 238,412.12 and 65,512.77 is: 98,197.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,058.05 : 238,412.12 = 65,512.77 : x
  2. Step 2: Convert to fraction form
    159,058.05/238,412.12 = 65,512.77/x
  3. Step 3: Cross multiply
    159,058.05x = 238,412.12 × 65,512.77
  4. Step 4: Simplify right side
    159,058.05x = 15,619,038,055.21
  5. Step 5: Solve for x
    x = 15,619,038,055.21/159,058.05
  6. Step 6: Final answer
    x = 98,197.09

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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.