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Finding the Fourth Proportional to 228,058.46, 314,389.59 and 159,862.94

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Solution

The fourth proportional to 228,058.46, 314,389.59 and 159,862.94 is: 220,378.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,058.46 : 314,389.59 = 159,862.94 : x
  2. Step 2: Convert to fraction form
    228,058.46/314,389.59 = 159,862.94/x
  3. Step 3: Cross multiply
    228,058.46x = 314,389.59 × 159,862.94
  4. Step 4: Simplify right side
    228,058.46x = 50,259,244,162.79
  5. Step 5: Solve for x
    x = 50,259,244,162.79/228,058.46
  6. Step 6: Final answer
    x = 220,378.78

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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.