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Finding the Fourth Proportional to 152,489.38, 210,429.27 and 84,509.26

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Solution

The fourth proportional to 152,489.38, 210,429.27 and 84,509.26 is: 116,619.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,489.38 : 210,429.27 = 84,509.26 : x
  2. Step 2: Convert to fraction form
    152,489.38/210,429.27 = 84,509.26/x
  3. Step 3: Cross multiply
    152,489.38x = 210,429.27 × 84,509.26
  4. Step 4: Simplify right side
    152,489.38x = 17,783,221,890.04
  5. Step 5: Solve for x
    x = 17,783,221,890.04/152,489.38
  6. Step 6: Final answer
    x = 116,619.41

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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.