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Finding the Fourth Proportional to 232,558.56, 348,228.81 and 152,344.17

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Solution

The fourth proportional to 232,558.56, 348,228.81 and 152,344.17 is: 228,117.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,558.56 : 348,228.81 = 152,344.17 : x
  2. Step 2: Convert to fraction form
    232,558.56/348,228.81 = 152,344.17/x
  3. Step 3: Cross multiply
    232,558.56x = 348,228.81 × 152,344.17
  4. Step 4: Simplify right side
    232,558.56x = 53,050,629,029.54
  5. Step 5: Solve for x
    x = 53,050,629,029.54/232,558.56
  6. Step 6: Final answer
    x = 228,117.29

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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.