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Finding the Fourth Proportional to 167,957.29, 251,971.48 and 55,631.15

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Solution

The fourth proportional to 167,957.29, 251,971.48 and 55,631.15 is: 83,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,957.29 : 251,971.48 = 55,631.15 : x
  2. Step 2: Convert to fraction form
    167,957.29/251,971.48 = 55,631.15/x
  3. Step 3: Cross multiply
    167,957.29x = 251,971.48 × 55,631.15
  4. Step 4: Simplify right side
    167,957.29x = 14,017,463,199.60
  5. Step 5: Solve for x
    x = 14,017,463,199.60/167,957.29
  6. Step 6: Final answer
    x = 83,458.50

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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.