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Finding the Fourth Proportional to 107,470.98, 160,960.65 and 51,350.51

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Solution

The fourth proportional to 107,470.98, 160,960.65 and 51,350.51 is: 76,908.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,470.98 : 160,960.65 = 51,350.51 : x
  2. Step 2: Convert to fraction form
    107,470.98/160,960.65 = 51,350.51/x
  3. Step 3: Cross multiply
    107,470.98x = 160,960.65 × 51,350.51
  4. Step 4: Simplify right side
    107,470.98x = 8,265,411,065.03
  5. Step 5: Solve for x
    x = 8,265,411,065.03/107,470.98
  6. Step 6: Final answer
    x = 76,908.31

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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.