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Finding the Fourth Proportional to 232,140.72, 348,242.04 and 91,866.54

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Solution

The fourth proportional to 232,140.72, 348,242.04 and 91,866.54 is: 137,812.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,140.72 : 348,242.04 = 91,866.54 : x
  2. Step 2: Convert to fraction form
    232,140.72/348,242.04 = 91,866.54/x
  3. Step 3: Cross multiply
    232,140.72x = 348,242.04 × 91,866.54
  4. Step 4: Simplify right side
    232,140.72x = 31,991,791,297.34
  5. Step 5: Solve for x
    x = 31,991,791,297.34/232,140.72
  6. Step 6: Final answer
    x = 137,812.06

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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.