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Finding the Fourth Proportional to 229,269.29, 315,871.16 and 177,408.06

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Solution

The fourth proportional to 229,269.29, 315,871.16 and 177,408.06 is: 244,420.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,269.29 : 315,871.16 = 177,408.06 : x
  2. Step 2: Convert to fraction form
    229,269.29/315,871.16 = 177,408.06/x
  3. Step 3: Cross multiply
    229,269.29x = 315,871.16 × 177,408.06
  4. Step 4: Simplify right side
    229,269.29x = 56,038,088,631.91
  5. Step 5: Solve for x
    x = 56,038,088,631.91/229,269.29
  6. Step 6: Final answer
    x = 244,420.39

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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.