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Finding the Fourth Proportional to 152,007.46, 209,762.10 and 84,020.38

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Solution

The fourth proportional to 152,007.46, 209,762.10 and 84,020.38 is: 115,943.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,007.46 : 209,762.10 = 84,020.38 : x
  2. Step 2: Convert to fraction form
    152,007.46/209,762.10 = 84,020.38/x
  3. Step 3: Cross multiply
    152,007.46x = 209,762.10 × 84,020.38
  4. Step 4: Simplify right side
    152,007.46x = 17,624,291,351.60
  5. Step 5: Solve for x
    x = 17,624,291,351.60/152,007.46
  6. Step 6: Final answer
    x = 115,943.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.