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Finding the Fourth Proportional to 116,814.80, 175,265.40 and 46,744.40

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Solution

The fourth proportional to 116,814.80, 175,265.40 and 46,744.40 is: 70,133.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,814.80 : 175,265.40 = 46,744.40 : x
  2. Step 2: Convert to fraction form
    116,814.80/175,265.40 = 46,744.40/x
  3. Step 3: Cross multiply
    116,814.80x = 175,265.40 × 46,744.40
  4. Step 4: Simplify right side
    116,814.80x = 8,192,675,963.76
  5. Step 5: Solve for x
    x = 8,192,675,963.76/116,814.80
  6. Step 6: Final answer
    x = 70,133.89

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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.