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Finding the Fourth Proportional to 114,337.48, 171,564.70 and 54,433.64

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Solution

The fourth proportional to 114,337.48, 171,564.70 and 54,433.64 is: 81,678.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,337.48 : 171,564.70 = 54,433.64 : x
  2. Step 2: Convert to fraction form
    114,337.48/171,564.70 = 54,433.64/x
  3. Step 3: Cross multiply
    114,337.48x = 171,564.70 × 54,433.64
  4. Step 4: Simplify right side
    114,337.48x = 9,338,891,116.51
  5. Step 5: Solve for x
    x = 9,338,891,116.51/114,337.48
  6. Step 6: Final answer
    x = 81,678.30

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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.