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Finding the Fourth Proportional to 114,199.36, 171,302.80 and 39,318.72

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Solution

The fourth proportional to 114,199.36, 171,302.80 and 39,318.72 is: 58,979.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,199.36 : 171,302.80 = 39,318.72 : x
  2. Step 2: Convert to fraction form
    114,199.36/171,302.80 = 39,318.72/x
  3. Step 3: Cross multiply
    114,199.36x = 171,302.80 × 39,318.72
  4. Step 4: Simplify right side
    114,199.36x = 6,735,406,828.42
  5. Step 5: Solve for x
    x = 6,735,406,828.42/114,199.36
  6. Step 6: Final answer
    x = 58,979.37

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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.