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Finding the Fourth Proportional to 152,025.34, 209,776.80 and 84,033.13

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Solution

The fourth proportional to 152,025.34, 209,776.80 and 84,033.13 is: 115,955.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,025.34 : 209,776.80 = 84,033.13 : x
  2. Step 2: Convert to fraction form
    152,025.34/209,776.80 = 84,033.13/x
  3. Step 3: Cross multiply
    152,025.34x = 209,776.80 × 84,033.13
  4. Step 4: Simplify right side
    152,025.34x = 17,628,201,105.38
  5. Step 5: Solve for x
    x = 17,628,201,105.38/152,025.34
  6. Step 6: Final answer
    x = 115,955.68

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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.